Feature Request: Project-specific session storage configuration

Feature Request: Project-specific Session Storage

### Problem
Currently, Claude Code stores all session data globally in the user directory. For developers
working on multiple projects, this makes it difficult to:

• Keep project-specific conversation history isolated
• Share session context with team members working on the same project
• Maintain clean separation between different codebases

### Proposed Solution
Add configuration option to store Claude sessions locally within each project directory,
similar to how .claude/settings.json works for project settings.

### Suggested Implementation

1. Configuration option in .claude/settings.json:

```json
{
"sessionStorage": "local" // or "global" (default)
}

1. Session directory: Store sessions in .claude/sessions/ within project
2. Gitignore support: Auto-ignore session files unless explicitly configured otherwise

Benefits

• Better project isolation
• Team collaboration on conversation history
• Easier project cleanup and archiving
• More organized development workflow

Use Cases

• Multi-project developers
• Team development environments
• Client project isolation
• Educational/training scenarios

This feature would significantly improve the developer experience for project-based workflows.