feat: persist trace filters in URL search params

[Harshith1702]

Purpose / Description

Persists trace list filters (search, traceType, ide) in URL query params so filters survive page refreshes and shared links.

Fixes

Closes #874

Approach

• Added useSearchParams and usePathname to hydrate filter state from URL params
• Synced filter changes back to the URL using router.replace
• Added debounced updates for the search input to avoid noisy URL updates while typing
• Preserved existing filtering behavior while enabling shareable filtered views

How Has This Been Tested?

• Verified filters persist after page refresh
• Verified URLs like ?ide=cursor&traceType=mcp open the correctly filtered view
• Verified search input updates URL without creating noisy history entries

Checklist

• All commits are signed off (git commit -s) per the DCO
• You have a descriptive commit message with a short title (first line, max 50 chars)
• You have commented your code, particularly in hard-to-understand areas
• You have performed a self-review of your own code
• UI changes: include screenshots of all affected screens (N/A - no visual UI changes)