Implement pagination on the game list page

[github-actions]

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.

Acceptance criteria

• The data-access helpers in src/lib/ support 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
• Vitest unit tests cover the pagination helpers and Playwright e2e tests cover the pagination behavior