feat: implement file/directory move functionality

Replace fake move implementation with actual functionality using the existing rename API.
The move feature now properly moves selected files/directories to chosen destinations.

- Use existing /api/rename endpoint to move files by renaming paths
- Handle multiple file selection with sequential move operations
- Add comprehensive error handling for partial failures
- Show detailed success/failure toast notifications
- Refresh page after successful moves to display changes

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <[email protected]>

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