Add filtering capability for games by category and publisher

[automagicallyio]

Users need the ability to filter the game catalog to find games that interest them more easily. This feature will improve user experience and help customers discover relevant products faster, potentially increasing sales conversion.

Acceptance Criteria:

• Add dropdown filter for game categories on the game list page
• Add dropdown filter for publishers on the game list page
• Filters work independently (category only, publisher only)
• Filters work together (category AND publisher)
• Filter results update dynamically without page reload
• Clear/reset filters button is available
• Filter state is maintained during pagination
• Mobile-responsive filter UI