As the number of games grows, loading the entire catalog on a single page hurts performance and makes the list harder to browse. Adding pagination keeps the game list page fast and manageable. This is a stretch goal intended to be tackled after the core filtering work.

Acceptance criteria

• The game list API supports pagination (for example page/limit or cursor-based)
• The game list page includes pagination controls
• Pagination controls follow the project's accessibility guidelines and include data-testid attributes
• Server tests and Playwright e2e tests cover the pagination behavior