Fix TF2 menu and projectile presentation

[Hona]

Summary

• restore the configured TF2 Main Menu character and ordinary GameUI background across desktop, mobile, DPR, loading, gameplay, pause, and disconnect schedules
• preserve exact projectile particle material state, transient display admission, cleanup, and isolated viewmodel/world depth phases
• include GameUI background resources in the current menu-role resource graph and refresh verified IndexedDB read recency before bounded eviction

Verification

• 310 Bun tests
• full Rust format, check, tests, and Clippy
• TF2 WASM verification and Vite production build
• two consecutive cold/warm/mobile headed browser acceptance runs
• exact warm cache hits, Pointer Lock, background, proportional layout, projectile, depth, disconnect, cleanup, and listener-release predicates

No proprietary media or game assets are committed.

Replaces #6.

[Copilot]

Copilot was unable to review this pull request because the user who requested the review has reached their quota limit.