fix: correct TanStack Router search types for all navigate/Link calls

Each destination route's search must match its validateSearch shape exactly:
- Detail pages (tab-based): { tab: '...' }
- List pages with extra filters: include status, instructorId, view, categoryId etc.
- Form pages (enrollments/new, repairs/new): include only their specific fields
- use-pagination.ts: fix search reducer to use (prev: any) instead of invalid cast

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

packages/admin/src/routes/_authenticated/lessons/schedule/index.tsx

@@ -152,7 +152,7 @@ function InstructorsTab({ canAdmin, search: _search }: { canAdmin: boolean; sear
         order={params.order}
         onPageChange={setPage}
         onSort={setSort}
-        onRowClick={(i) => navigate({ to: '/lessons/schedule/instructors/$instructorId', params: { instructorId: i.id }, search: { page: 1, limit: 25, q: undefined, sort: undefined, order: 'asc' as const } })}
+        onRowClick={(i) => navigate({ to: '/lessons/schedule/instructors/$instructorId', params: { instructorId: i.id }, search: { tab: 'overview' } })}
       />
     </div>
   )