Hold the view still when a click gives the mouse back (send home jump)

[webdevcody]

Problem

Sending a worker home in first person: press X at the desk, click Send home. The dialog closes and the office takes the mouse straight back for looking around. It does that at the moment the hand that clicked is usually already moving on. The pointer vanishes under it ("locks up"), and the rest of the move turns into a swing of the camera, so the view jumps somewhere else.

Nothing in the send-home path moves the camera itself. In a headless Chrome smoke, the view turned only by the mouse deltas that arrived after the relock. It's the follow-through of the click. The same thing happens when you close any window by clicking ✕.

Fix

• backToGame (main.ts) notes whether the window was closed with the mouse (the last press was a pointer, not a key) and asks player.lock(settle).
• A settling lock (player.ts) is still taken at once, as CLAUDE.md requires for ✕ and Esc. But the view ignores mouse movement until the mouse has rested for 250 ms since the lock landed, 1 s at most. The pause you make to click doesn't count as resting.
• Closing with a key (Esc, Enter on the focused button) and clicking the office to take the mouse behave exactly as before: the view turns straight away.

Verification

• npm run typecheck, npm run build and npm test (411 pass).
• Headless Chrome (Metal) smoke against a real office, with shell/agent workers at desks, with and without worktrees. Same script against unmodified HEAD and this branch:

check	HEAD	this PR
Click Send home, hand keeps moving: view stays put	❌ swings	✅
…mouse-look is back at once	✅	✅
…after a rest, the mouse looks around again	✅	✅
Hand keeps moving 1.5 s: turns again after the 1 s cap	✅	✅
Click ✕, hand keeps moving: view stays put, mouse-look back at once	❌ swings	✅
Enter / Esc: looks around straight away	✅	✅
Click on the office to take the mouse: looks around straight away	✅	✅

🤖 Generated with Claude Code