phsl / new-api

This commit improves the model display interface with several enhancements:

1. Add model count badges to each category tab and dropdown menu item
2. Highlight active category with red badge and use grey for inactive ones
3. Optimize performance by caching category counts with useMemo
4. Standardize model tag rendering across components:
   - Replace direct Tag component with centralized renderModelTag function
   - Update renderModelTag to use stringToColor for consistent coloring
   - Remove redundant color calculations in LogsTable

These changes improve the UI by providing users with visual cues about model distribution across categories while ensuring consistent styling throughout the application.