## Why
Checking the tool search cache currently rebuilds search metadata for every deferred tool, even when an immutable tool runtime has not changed.
## What changed
- Track immutable deferred tools by runtime identity and dynamic tools by their current search metadata.
- Rebuild the search handler when the deferred registry, dynamic metadata, or source-listing mode changes.
- Keep only weak references to immutable runtimes in the cache.
## Testing
Added unit coverage for immutable handler reuse, registry and exposure changes, source-listing changes, and refreshed dynamic tool metadata.
GitOrigin-RevId: 024c6f4498d431e7bbfaecde420f77fcf8c0dba7