Feat: added zip as a game

[Krishang-Zinzuwadia]

dynamic zip generation added no 2 zips are same

spent a lot of water and tokens to review your slop

Greptile Summary

This PR adds Zip as a dynamically generated multiplayer puzzle game. The main changes are:

• Adds the interactive Zip grid and game screens to the web app.
• Adds puzzle generation, validation, hints, scoring, and multi-round play to the SFU.
• Registers Zip in the web and server game catalogs.
• Adds tests for the game module and puzzle solver.

Confidence Score: 5/5

This looks safe to merge.

• Active-player reconciliation prevents disconnected boards from blocking completion.
• No separate blocking issue remains in the updated request-handling path.
• The new imports and registrations match the existing build and module contracts.

Important Files Changed

Filename	Overview
packages/sfu/server/games/modules/zip.ts	Adds the Zip game lifecycle, move validation, hints, scoring, views, and multi-round handling.
packages/sfu/server/games/modules/zipSolver.ts	Adds dynamic puzzle generation and path-solving helpers.
apps/web/src/app/components/games/ZipGame.tsx	Adds the interactive puzzle grid, controls, standings, timing, and results UI.
packages/sfu/test/zip.test.ts	Adds coverage for the Zip game lifecycle and player actions.
packages/sfu/test/zipSolver.test.ts	Adds coverage for puzzle generation and solver behavior.

_{Reviews (2): Last reviewed commit: "fix(sfu): complete zip rounds after disc..." | Re-trigger Greptile}

[greptile-apps]

Busy Guard Drops New Path

The grid remains interactive while the first path request is awaiting its acknowledgement. If the player extends and releases the path again during that window, this return silently skips the second submission; the next server view restores the older path and the newer progress disappears.