refactor: Wave 2 DRY consolidation - mature tools import shared format utilities

- nia-search: remove 5 private functions, import from format.ts
- nia-research: remove 5 private functions, import from format.ts
- nia-advisor: remove 4 private functions, import from format.ts
- nia-tracer: remove 4 private functions, fix any type, import from format.ts

All tools now use createToolErrorFormatter with tool-specific prefixes.

Tasks: 5-8 complete