Enable React Compiler in server/frontend (follow-up to Biome migration)

[peteski22]

Context

During review of #345, we discussed enabling React Compiler and any related lint coverage as a follow-up, rather than mixing runtime/build changes into the Biome migration PR.

Goal

Enable React Compiler for server/frontend and validate behavior with existing tests/build.

Scope

• Add React Compiler dependency and Vite integration for server/frontend
• Keep the change isolated from lint/format migration work
• Run frontend lint, type-check, tests, and build
• Open a focused PR with notes on rollout/verification

Notes

• Biome already provides React/Hook domain linting when React is detected and recommended rules are enabled.
• This issue tracks the separate runtime/build optimization work.