fix: migrate TypeScript examples to Context Compiler 0.9

[rlippmann]

Summary

• Migrate TypeScript examples and starter apps to the published @rlippmann/context-compiler@0.9.0-dev.0 APIs.
• Update engine construction, state access, JSON persistence, and decision handling.
• Preserve @rlippmann/context-compiler-directive-drafter@^0.1.2 APIs and fallback semantics.
• Reframe checkpoint continuation around authoritative state persistence because 0.9 does not persist pending confirmation state.

Directive Drafter starters

The Node and Next.js with_drafter starters now consume core 0.9 while retaining their existing drafter resolver behavior. Unknown, unsafe, abstained, and compound drafter results are not redesigned. Core conflicts now return 0.9 semantic errors, and no pending clarification/confirmation lifecycle is reintroduced.

Validation

• Both with_drafter starters: typecheck, tests, and build pass.
• ./scripts/validate_typescript_fast.sh passes.
• ./scripts/validate_typescript.sh passes.
• git diff --check passes.

Two existing live-model tests remain skipped by their normal guards.