Explore Amazon Q CLI conversation persistence for workflow optimization

## Discovery
Amazon Q CLI has conversation persistence capabilities that could be leveraged for workflow optimization:

### Features Available
- **Directory-based persistence**: Conversations automatically resume based on directory context
- **Manual save/load**: `/save [path]` and `/load [path]` commands for explicit conversation management
- **Cross-directory sharing**: Conversations can be moved between working directories

### Potential Benefits
- **Context handoffs**: Pass rich context to another work session without interrupting current flow
- **Systems improvement workflows**: Save context from feature work, then load it during 20% systems optimization time
- **Team collaboration**: Share conversation context with team members
- **Backup important conversations**: Preserve valuable troubleshooting or design discussions

### Potential Risks
- **Undocumented tool behavior**: Limited documentation on edge cases and best practices
- **Context switching overhead**: May not be worth it if feedback loops are weak
- **Unknown reliability**: Unclear how robust the persistence mechanism is

### Investigation Areas
1. **Test basic functionality**: Try `/save` and `/load` commands in different scenarios
2. **Directory-based behavior**: Understand how `q chat --resume` works in practice
3. **Context quality**: Does loaded context maintain the same quality as live conversation?
4. **Integration with our workflows**: How could this support our 80/20 rule and systems stewardship?

### Potential Use Cases
- Save context from feature work, load during post-PR mini retros
- Hand off complex debugging sessions between work periods
- Preserve architectural discussions for future reference
- Enable asynchronous collaboration on technical problems

### References
- [Amazon Q CLI Conversation Persistence Documentation](https://docs.aws.amazon.com/amazonq/latest/qdeveloper-ug/command-line-chat-persistence.htm)
- [GitHub Issue where I learned about this feature](https://github.com/aws/amazon-q-developer-cli/issues/2007#issuecomment-2966030433)

This could be a force multiplier for our agent management approach if implemented thoughtfully.

Start by reading the linked Amazon Q CLI conversation persistence documentation, then run q chat to test /save, /load, and directory-based resume behavior in the scenarios listed. Done means recording the observed reliability, context quality, workflow fit, and recommended use cases or limitations for this project.

Written by the indexing model from the issue text.