diff --git a/web/package-lock.json b/web/package-lock.json
index cbfab5055..beff1edce 100644
--- a/web/package-lock.json
+++ b/web/package-lock.json
@@ -18,13 +18,13 @@
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         "@radix-ui/react-slot": "^1.3.3",
         "@radix-ui/react-tooltip": "^1.2.16",
-        "@xyflow/react": "^12.11.5",
+        "@xyflow/react": "^12.11.6",
         "clsx": "^2.1.1",
         "cmdk": "^1.1.1",
         "date-fns": "^4.4.0",
-        "katex": "^0.18.4",
+        "katex": "^0.18.5",
         "lucide-react": "^1.37.0",
-        "next": "^16.3.3",
+        "next": "^16.3.4",
         "react": "^19.2.7",
         "react-dom": "^19.2.7",
         "react-markdown": "^10.1.0",
@@ -38,14 +38,14 @@
         "@playwright/test": "^1.62.1",
         "@testing-library/jest-dom": "^7.0.1",
         "@testing-library/react": "^16.3.2",
-        "@testing-library/user-event": "^14.6.6",
+        "@testing-library/user-event": "^14.6.7",
         "@types/node": "^22.14.1",
         "@types/react": "^19.2.17",
         "@types/react-dom": "^19.2.3",
         "@vitejs/plugin-react": "^6.1.1",
         "autoprefixer": "^10.5.4",
         "eslint": "^10.9.1",
-        "eslint-config-next": "^16.3.3",
+        "eslint-config-next": "^16.3.4",
         "jsdom": "^29.1.1",
         "postcss": "^8.5.23",
         "tailwindcss": "^3.4.17",
@@ -59,14 +59,14 @@
       "license": "Apache-2.0",
       "devDependencies": {
         "@testing-library/dom": "^10.4.1",
-        "@testing-library/react": "^16.3.2",
+        "@testing-library/react": "^16.3.3",
         "@types/node": "^22.14.1",
-        "@types/react": "^19.0.12",
-        "@types/react-dom": "^19.2.3",
-        "@vitest/coverage-v8": "^4.1.8",
-        "jsdom": "^29.1.1",
-        "react": "^19.0.0",
-        "react-dom": "^19.2.5",
+        "@types/react": "^19.2.18",
+        "@types/react-dom": "^19.2.5",
+        "@vitest/coverage-v8": "^4.1.11",
+        "jsdom": "^30.0.1",
+        "react": "^19.2.8",
+        "react-dom": "^19.2.8",
         "tsup": "^8.4.0",
         "typescript": "^5.8.3",
         "vitest": "^4.1.8"
@@ -482,9 +482,9 @@
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-      "resolved": "https://registry.npmjs.org/@emnapi/runtime/-/runtime-1.11.1.tgz",
-      "integrity": "sha512-vgj7R3y3Wgx24IQaGPA/R6YFXLHVMOZ0uVEyIQPaWs+rd1AzfEMXlAC22FYwO1XkKR6NPsq7mUandH8oIRdZFw==",
+      "version": "1.11.3",
+      "resolved": "https://registry.npmjs.org/@emnapi/runtime/-/runtime-1.11.3.tgz",
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       "license": "MIT",
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@@ -742,9 +742,9 @@
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-      "resolved": "https://registry.npmjs.org/@img/sharp-darwin-arm64/-/sharp-darwin-arm64-0.35.3.tgz",
-      "integrity": "sha512-RMnFX7YQsMoh7lWfcM4NEHHymBX/rLuKNPVM84XE9ONPcaSCDgE7CHIHpSgPcO2xcRthgBy1HfNO319mwhIAkg==",
+      "version": "0.35.4",
+      "resolved": "https://registry.npmjs.org/@img/sharp-darwin-arm64/-/sharp-darwin-arm64-0.35.4.tgz",
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       "cpu": [
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       ],
@@ -760,13 +760,13 @@
         "url": "https://opencollective.com/libvips"
       },
       "optionalDependencies": {
-        "@img/sharp-libvips-darwin-arm64": "1.3.2"
+        "@img/sharp-libvips-darwin-arm64": "1.3.3"
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     "node_modules/@img/sharp-darwin-x64": {
-      "version": "0.35.3",
-      "resolved": "https://registry.npmjs.org/@img/sharp-darwin-x64/-/sharp-darwin-x64-0.35.3.tgz",
-      "integrity": "sha512-Xo+5uFBtLN0BKqieTxiFzFPQAUlBbbH5iBKyRX/z1JrbnYsHTfKJnUfL8+p2TPXr1pXqao4eeL4Rl144uDpK9w==",
+      "version": "0.35.4",
+      "resolved": "https://registry.npmjs.org/@img/sharp-darwin-x64/-/sharp-darwin-x64-0.35.4.tgz",
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       "cpu": [
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@@ -782,20 +782,20 @@
         "url": "https://opencollective.com/libvips"
       },
       "optionalDependencies": {
-        "@img/sharp-libvips-darwin-x64": "1.3.2"
+        "@img/sharp-libvips-darwin-x64": "1.3.3"
       }
     },
     "node_modules/@img/sharp-freebsd-wasm32": {
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-      "resolved": "https://registry.npmjs.org/@img/sharp-freebsd-wasm32/-/sharp-freebsd-wasm32-0.35.3.tgz",
-      "integrity": "sha512-lUxcqWIj2wMQ9BrwNjngcr1gWUr5xgaGThBRqPPalIC2n67Cqj1uPh8NnA/ZhAg8hUbKl+kVHKwgUIwe6ZYPrg==",
+      "version": "0.35.4",
+      "resolved": "https://registry.npmjs.org/@img/sharp-freebsd-wasm32/-/sharp-freebsd-wasm32-0.35.4.tgz",
+      "integrity": "sha512-lIsKw/BU+kjB4eZjxrYrZmwOJYi3Ajrv66iAlBmUPyKc3HpnloevB1g3wxGD9P/5BbQ1brBGl65VRRrCvQDEqA==",
       "license": "Apache-2.0",
       "optional": true,
       "os": [
         "freebsd"
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       "dependencies": {
-        "@img/sharp-wasm32": "0.35.3"
+        "@img/sharp-wasm32": "0.35.4"
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@@ -805,9 +805,9 @@
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-      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-darwin-arm64/-/sharp-libvips-darwin-arm64-1.3.2.tgz",
-      "integrity": "sha512-9J6ypZFpQBj4YnePGoq/S38w6nz+vqg5WZLrLGY4YuSemdMq47GMLBPO42MzwdGwpg/agZ7xzZcFHa48xlywfg==",
+      "version": "1.3.3",
+      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-darwin-arm64/-/sharp-libvips-darwin-arm64-1.3.3.tgz",
+      "integrity": "sha512-suTBPTDGrI9WodccaDdwZItTSaBYASlBk1NSfElSHrUfzu3szG6lvIF58+WiFvnfzuK8ZBFS5zE00PxqxnRiPg==",
       "cpu": [
         "arm64"
       ],
@@ -821,9 +821,9 @@
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-      "version": "1.3.2",
-      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-darwin-x64/-/sharp-libvips-darwin-x64-1.3.2.tgz",
-      "integrity": "sha512-m2pW1n6cns9VaubNwsZ+c3CRYjxNQWgJ5gPlnL1nbBcpkBvFm6SCFN5o0psFHI8w9n11NKhFkeEDns98tiqbEw==",
+      "version": "1.3.3",
+      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-darwin-x64/-/sharp-libvips-darwin-x64-1.3.3.tgz",
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       "cpu": [
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@@ -837,12 +837,15 @@
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-      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-linux-arm/-/sharp-libvips-linux-arm-1.3.2.tgz",
-      "integrity": "sha512-1eMLzy92I4J6rmi4mAT8yC3HxOtniyGELlzGbNMLLeqe052ahFQ0h6LFq+lh5DsDIdYViIDst08abvSbcEdLXQ==",
+      "version": "1.3.3",
+      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-linux-arm/-/sharp-libvips-linux-arm-1.3.3.tgz",
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       "cpu": [
         "arm"
       ],
+      "libc": [
+        "glibc"
+      ],
       "license": "LGPL-3.0-or-later",
       "optional": true,
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@@ -853,12 +856,15 @@
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-      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-linux-arm64/-/sharp-libvips-linux-arm64-1.3.2.tgz",
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+      "version": "1.3.3",
+      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-linux-arm64/-/sharp-libvips-linux-arm64-1.3.3.tgz",
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       "cpu": [
         "arm64"
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+      "libc": [
+        "glibc"
+      ],
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@@ -869,12 +875,15 @@
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-      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-linux-ppc64/-/sharp-libvips-linux-ppc64-1.3.2.tgz",
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+      "version": "1.3.3",
+      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-linux-ppc64/-/sharp-libvips-linux-ppc64-1.3.3.tgz",
+      "integrity": "sha512-cdn1OvUBwsXhbC0zSzJnNzf5MZ/mTrobawDvNXBTxe8VtqKAm0sRuEY2Evzovb/w9JMk4TvRxqt1mekSuJz64w==",
       "cpu": [
         "ppc64"
       ],
+      "libc": [
+        "glibc"
+      ],
       "license": "LGPL-3.0-or-later",
       "optional": true,
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@@ -885,12 +894,15 @@
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     "node_modules/@img/sharp-libvips-linux-riscv64": {
-      "version": "1.3.2",
-      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-linux-riscv64/-/sharp-libvips-linux-riscv64-1.3.2.tgz",
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+      "version": "1.3.3",
+      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-linux-riscv64/-/sharp-libvips-linux-riscv64-1.3.3.tgz",
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       "cpu": [
         "riscv64"
       ],
+      "libc": [
+        "glibc"
+      ],
       "license": "LGPL-3.0-or-later",
       "optional": true,
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@@ -901,12 +913,15 @@
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     "node_modules/@img/sharp-libvips-linux-s390x": {
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-      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-linux-s390x/-/sharp-libvips-linux-s390x-1.3.2.tgz",
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+      "version": "1.3.3",
+      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-linux-s390x/-/sharp-libvips-linux-s390x-1.3.3.tgz",
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       "cpu": [
         "s390x"
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+      "libc": [
+        "glibc"
+      ],
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@@ -917,12 +932,15 @@
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-      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-linux-x64/-/sharp-libvips-linux-x64-1.3.2.tgz",
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+      "version": "1.3.3",
+      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-linux-x64/-/sharp-libvips-linux-x64-1.3.3.tgz",
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       "cpu": [
         "x64"
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+      "libc": [
+        "glibc"
+      ],
       "license": "LGPL-3.0-or-later",
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@@ -933,12 +951,15 @@
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+      "version": "1.3.3",
+      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-linuxmusl-arm64/-/sharp-libvips-linuxmusl-arm64-1.3.3.tgz",
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       "cpu": [
         "arm64"
       ],
+      "libc": [
+        "musl"
+      ],
       "license": "LGPL-3.0-or-later",
       "optional": true,
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@@ -949,12 +970,15 @@
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+      "version": "1.3.3",
+      "resolved": "https://registry.npmjs.org/@img/sharp-libvips-linuxmusl-x64/-/sharp-libvips-linuxmusl-x64-1.3.3.tgz",
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       "cpu": [
         "x64"
       ],
+      "libc": [
+        "musl"
+      ],
       "license": "LGPL-3.0-or-later",
       "optional": true,
       "os": [
@@ -965,12 +989,15 @@
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-      "resolved": "https://registry.npmjs.org/@img/sharp-linux-arm/-/sharp-linux-arm-0.35.3.tgz",
-      "integrity": "sha512-affVWCTLooy8TSxbDx2qkzuDeaWLNVBA+P//FNBirHsXpP2fuBhk5AuboYUnrDnzoXes8GFjpTx0SBFOCRg+FA==",
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       "cpu": [
         "arm"
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+      "libc": [
+        "glibc"
+      ],
       "license": "Apache-2.0",
       "optional": true,
       "os": [
@@ -983,16 +1010,19 @@
         "url": "https://opencollective.com/libvips"
       },
       "optionalDependencies": {
-        "@img/sharp-libvips-linux-arm": "1.3.2"
+        "@img/sharp-libvips-linux-arm": "1.3.3"
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     "node_modules/@img/sharp-linux-arm64": {
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-      "resolved": "https://registry.npmjs.org/@img/sharp-linux-arm64/-/sharp-linux-arm64-0.35.3.tgz",
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       "cpu": [
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       "license": "Apache-2.0",
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@@ -1005,16 +1035,19 @@
         "url": "https://opencollective.com/libvips"
       },
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-        "@img/sharp-libvips-linux-arm64": "1.3.2"
+        "@img/sharp-libvips-linux-arm64": "1.3.3"
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       "cpu": [
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+      "libc": [
+        "glibc"
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       "license": "Apache-2.0",
       "optional": true,
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@@ -1027,16 +1060,19 @@
         "url": "https://opencollective.com/libvips"
       },
       "optionalDependencies": {
-        "@img/sharp-libvips-linux-ppc64": "1.3.2"
+        "@img/sharp-libvips-linux-ppc64": "1.3.3"
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+      "resolved": "https://registry.npmjs.org/eslint-config-next/-/eslint-config-next-16.3.4.tgz",
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       "dev": true,
       "license": "MIT",
       "dependencies": {
-        "@next/eslint-plugin-next": "16.3.3",
+        "@next/eslint-plugin-next": "16.3.4",
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         "eslint-import-resolver-typescript": "^3.5.2",
         "eslint-plugin-import": "^2.32.0",
@@ -6989,28 +7037,28 @@
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-      "version": "0.18.4",
-      "resolved": "https://registry.npmjs.org/katex/-/katex-0.18.4.tgz",
-      "integrity": "sha512-IMPntbRLOU+eu88XDiFKqQ8Akhr9Tv7jDMXqPhjG9SI1JMA4DIgXk4x9k4skJz2NZJXBRbC+2pYBLj9olqcZow==",
+      "version": "0.18.5",
+      "resolved": "https://registry.npmjs.org/katex/-/katex-0.18.5.tgz",
+      "integrity": "sha512-1FU5H3RjGJVj6GT9fMjf2uMIXmPQp232aXS3UEeQzf0dxefHg/CKMvNB3DuOC46LFG/E5PNxrE8dOwB782FDGg==",
       "funding": [
         "https://opencollective.com/katex",
         "https://github.com/sponsors/katex"
       ],
       "license": "MIT",
       "dependencies": {
-        "commander": "^8.3.0"
+        "commander": "^15.0.0"
       },
       "bin": {
         "katex": "cli.js"
       }
     },
     "node_modules/katex/node_modules/commander": {
-      "version": "8.3.0",
-      "resolved": "https://registry.npmjs.org/commander/-/commander-8.3.0.tgz",
-      "integrity": "sha512-OkTL9umf+He2DZkUq8f8J9of7yL6RJKI24dVITBmNfZBmri9zYZQrKkuXiKhyfPSu8tUhnVBB1iKXevvnlR4Ww==",
+      "version": "15.0.0",
+      "resolved": "https://registry.npmjs.org/commander/-/commander-15.0.0.tgz",
+      "integrity": "sha512-z67u4ZhzCL/Tydu1lJARtEZYWbWaN7oYLHbsuzocr6y4N6WZAagG3RQ4FW61V1/0+jImpj293XfrcYnd1qxtPg==",
       "license": "MIT",
       "engines": {
-        "node": ">= 12"
+        "node": ">=22.12.0"
       }
     },
     "node_modules/keyv": {
@@ -8487,12 +8535,12 @@
       "license": "MIT"
     },
     "node_modules/next": {
-      "version": "16.3.3",
-      "resolved": "https://registry.npmjs.org/next/-/next-16.3.3.tgz",
-      "integrity": "sha512-tuRTx1nQ/yVw83cwJBo9F+njGUgMn3UHQycreWHB8XsStvvAh1AthbI8/4IpKnFaF58F+iSiHejYOlMQ/eq83g==",
+      "version": "16.3.4",
+      "resolved": "https://registry.npmjs.org/next/-/next-16.3.4.tgz",
+      "integrity": "sha512-/Ztf6CeRH+ejEXUrYtqI4gkS66eFIHuSwqi60RgcpWKodxFZx2/dqVCMKBwILfAHXQ+F1b1vAudgj3mnxqtoIA==",
       "license": "MIT",
       "dependencies": {
-        "@next/env": "16.3.3",
+        "@next/env": "16.3.4",
         "@swc/helpers": "0.5.23",
         "baseline-browser-mapping": "^2.9.19",
         "caniuse-lite": "^1.0.30001579",
@@ -8506,15 +8554,15 @@
         "node": ">=20.9.0"
       },
       "optionalDependencies": {
-        "@next/swc-darwin-arm64": "16.3.3",
-        "@next/swc-darwin-x64": "16.3.3",
-        "@next/swc-linux-arm64-gnu": "16.3.3",
-        "@next/swc-linux-arm64-musl": "16.3.3",
-        "@next/swc-linux-x64-gnu": "16.3.3",
-        "@next/swc-linux-x64-musl": "16.3.3",
-        "@next/swc-win32-arm64-msvc": "16.3.3",
-        "@next/swc-win32-x64-msvc": "16.3.3",
-        "sharp": "^0.35.3"
+        "@next/swc-darwin-arm64": "16.3.4",
+        "@next/swc-darwin-x64": "16.3.4",
+        "@next/swc-linux-arm64-gnu": "16.3.4",
+        "@next/swc-linux-arm64-musl": "16.3.4",
+        "@next/swc-linux-x64-gnu": "16.3.4",
+        "@next/swc-linux-x64-musl": "16.3.4",
+        "@next/swc-win32-arm64-msvc": "16.3.4",
+        "@next/swc-win32-x64-msvc": "16.3.4",
+        "sharp": "^0.35.4"
       },
       "peerDependencies": {
         "@opentelemetry/api": "^1.1.0",
@@ -9827,9 +9875,9 @@
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     "node_modules/sharp": {
-      "version": "0.35.3",
-      "resolved": "https://registry.npmjs.org/sharp/-/sharp-0.35.3.tgz",
-      "integrity": "sha512-ej0zVHuZGHCiABXcNxeYhpRnPNPAcvbG8RMdBAhDAxLKkCRVSpK3Iyu7qbqw3JMzoj0REeM6f3tJLtVwl0023Q==",
+      "version": "0.35.4",
+      "resolved": "https://registry.npmjs.org/sharp/-/sharp-0.35.4.tgz",
+      "integrity": "sha512-n++8XWcj+jCOr2IOl7h8LbKnGBDY4aPbmprMONBNFdn0ImXqpGVv5zliDs0V9HbmbCQLpbuo2ej9rAoOQTvMDA==",
       "license": "Apache-2.0",
       "optional": true,
       "dependencies": {
@@ -9844,31 +9892,31 @@
         "url": "https://opencollective.com/libvips"
       },
       "optionalDependencies": {
-        "@img/sharp-darwin-arm64": "0.35.3",
-        "@img/sharp-darwin-x64": "0.35.3",
-        "@img/sharp-freebsd-wasm32": "0.35.3",
-        "@img/sharp-libvips-darwin-arm64": "1.3.2",
-        "@img/sharp-libvips-darwin-x64": "1.3.2",
-        "@img/sharp-libvips-linux-arm": "1.3.2",
-        "@img/sharp-libvips-linux-arm64": "1.3.2",
-        "@img/sharp-libvips-linux-ppc64": "1.3.2",
-        "@img/sharp-libvips-linux-riscv64": "1.3.2",
-        "@img/sharp-libvips-linux-s390x": "1.3.2",
-        "@img/sharp-libvips-linux-x64": "1.3.2",
-        "@img/sharp-libvips-linuxmusl-arm64": "1.3.2",
-        "@img/sharp-libvips-linuxmusl-x64": "1.3.2",
-        "@img/sharp-linux-arm": "0.35.3",
-        "@img/sharp-linux-arm64": "0.35.3",
-        "@img/sharp-linux-ppc64": "0.35.3",
-        "@img/sharp-linux-riscv64": "0.35.3",
-        "@img/sharp-linux-s390x": "0.35.3",
-        "@img/sharp-linux-x64": "0.35.3",
-        "@img/sharp-linuxmusl-arm64": "0.35.3",
-        "@img/sharp-linuxmusl-x64": "0.35.3",
-        "@img/sharp-webcontainers-wasm32": "0.35.3",
-        "@img/sharp-win32-arm64": "0.35.3",
-        "@img/sharp-win32-ia32": "0.35.3",
-        "@img/sharp-win32-x64": "0.35.3"
+        "@img/sharp-darwin-arm64": "0.35.4",
+        "@img/sharp-darwin-x64": "0.35.4",
+        "@img/sharp-freebsd-wasm32": "0.35.4",
+        "@img/sharp-libvips-darwin-arm64": "1.3.3",
+        "@img/sharp-libvips-darwin-x64": "1.3.3",
+        "@img/sharp-libvips-linux-arm": "1.3.3",
+        "@img/sharp-libvips-linux-arm64": "1.3.3",
+        "@img/sharp-libvips-linux-ppc64": "1.3.3",
+        "@img/sharp-libvips-linux-riscv64": "1.3.3",
+        "@img/sharp-libvips-linux-s390x": "1.3.3",
+        "@img/sharp-libvips-linux-x64": "1.3.3",
+        "@img/sharp-libvips-linuxmusl-arm64": "1.3.3",
+        "@img/sharp-libvips-linuxmusl-x64": "1.3.3",
+        "@img/sharp-linux-arm": "0.35.4",
+        "@img/sharp-linux-arm64": "0.35.4",
+        "@img/sharp-linux-ppc64": "0.35.4",
+        "@img/sharp-linux-riscv64": "0.35.4",
+        "@img/sharp-linux-s390x": "0.35.4",
+        "@img/sharp-linux-x64": "0.35.4",
+        "@img/sharp-linuxmusl-arm64": "0.35.4",
+        "@img/sharp-linuxmusl-x64": "0.35.4",
+        "@img/sharp-webcontainers-wasm32": "0.35.4",
+        "@img/sharp-win32-arm64": "0.35.4",
+        "@img/sharp-win32-ia32": "0.35.4",
+        "@img/sharp-win32-x64": "0.35.4"
       },
       "peerDependenciesMeta": {
         "@types/node": {
diff --git a/web/package.json b/web/package.json
index 1d94fd636..f7f821f04 100644
--- a/web/package.json
+++ b/web/package.json
@@ -24,13 +24,13 @@
     "@radix-ui/react-scroll-area": "^1.2.18",
     "@radix-ui/react-slot": "^1.3.3",
     "@radix-ui/react-tooltip": "^1.2.16",
-    "@xyflow/react": "^12.11.5",
+    "@xyflow/react": "^12.11.6",
     "clsx": "^2.1.1",
     "cmdk": "^1.1.1",
     "date-fns": "^4.4.0",
-    "katex": "^0.18.4",
+    "katex": "^0.18.5",
     "lucide-react": "^1.37.0",
-    "next": "^16.3.3",
+    "next": "^16.3.4",
     "react": "^19.2.7",
     "react-dom": "^19.2.7",
     "react-markdown": "^10.1.0",
@@ -52,14 +52,14 @@
     "@playwright/test": "^1.62.1",
     "@testing-library/jest-dom": "^7.0.1",
     "@testing-library/react": "^16.3.2",
-    "@testing-library/user-event": "^14.6.6",
+    "@testing-library/user-event": "^14.6.7",
     "@types/node": "^22.14.1",
     "@types/react": "^19.2.17",
     "@types/react-dom": "^19.2.3",
     "@vitejs/plugin-react": "^6.1.1",
     "autoprefixer": "^10.5.4",
     "eslint": "^10.9.1",
-    "eslint-config-next": "^16.3.3",
+    "eslint-config-next": "^16.3.4",
     "jsdom": "^29.1.1",
     "postcss": "^8.5.23",
     "tailwindcss": "^3.4.17",