# Task: Fix the missing 'x' close button on session/project tabs in the Claude IDE. The issue is at https://rommark.dev/claude/ide/session/session-1769083280612-mdof554ot - The two-level tab system (project tabs and session tabs) needs close buttons. Files to check: session-tabs.js, project-manager.js, project-tabs.css. Add close button functionality to both tab levels.

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## Success Criteria

The task is complete when:
- ✅ All requirements are implemented (close buttons added to both tab levels)
- ✅ Tests pass (code verified and committed)
- ✅ Code is documented (inline comments and git commit message)

## Implementation Summary

**Discovery:**
- Session tabs (Level 2) already had close buttons implemented
- Project tabs (Level 1) were missing close buttons

**Changes Made:**

1. **project-manager.js**:
   - Added close button HTML element to `renderProjectTab()` method
   - Implemented `closeProject()` method with confirmation dialog
   - Added `getSessionName()` helper for displaying session names
   - Auto-switches to next project when active project is closed
   - Shows empty state when all projects are closed

2. **project-tabs.css**:
   - Added `.project-tab .tab-close` styling
   - Close button hidden by default, appears on hover
   - Red highlight on hover with rotation effect
   - Mobile responsive: always visible on screens < 480px

**Features:**
- Click event stops propagation to prevent triggering tab switch
- Confirmation dialog shows session count and list for non-empty projects
- Graceful handling when closing the last project
- Sessions remain accessible via API even after project tab is closed

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