fix: refresh state during URL search synchronization

[Meet-hybrid]

Description

Refresh the URL-to-state synchronization effect whenever the current search state changes. This prevents it from comparing incoming URL parameters against a stale query snapshot during browser navigation.

Related Issue

Closes #900

Type of Change

• Bug fix
• New feature
• Breaking change
• Documentation update

Validation

• pnpm run type-check
• pnpm run lint
• Full test suite (blocked by pre-existing failures outside this change)
• Dependency audit (reports existing high-severity dependency findings)

Checklist

• Code follows project style guidelines
• Self-review completed
• No console errors introduced

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