Greptile Summary

This PR fixes a bug where the global terminal stayed stuck in a previous project's working directory when switching between projects. The root cause was that the global terminal store key was a bare 'global' string, shared across all projects.

• Global terminal key scoped per project: globalKey now uses `global::${projectPath}` instead of 'global' when no task is active, giving each project its own isolated global terminal instance.
• Task-less selection guard: Added an early check that redirects stale task:: selections to global terminals when no task is present, preventing the UI from pointing at a now-invalid terminal.
• Simplified fallback logic: The terminal fallback cascade now checks task presence before preferring worktree terminals, removing a redundant third branch that repeated the task-terminal check.

Confidence Score: 4/5

• This PR is safe to merge — it's a focused, small fix in a single UI component with no backend or data changes.
• The change is minimal (one file, ~20 lines net), logically sound, and addresses a clear bug. The projectPath is always defined by the time terminals render (guarded by the early return). The only minor concern is that globalKey could technically be "global::undefined" if projectPath is undefined and task?.path is falsy, but the early return guard on line 450 prevents terminal rendering in that case.
• No files require special attention.

Flowchart

flowchart TD
 A["TaskTerminalPanel renders"] --> B{"task.path exists?"}
 B -- Yes --> C["globalKey scoped to task path"]
 B -- No --> D["globalKey scoped to projectPath"]
 C --> E["useTaskTerminals with globalKey"]
 D --> E
 E --> F{"selectedValue valid?"}
 F -- "No selectedValue" --> G{"task exists?"}
 G -- Yes --> H["Select first task terminal"]
 G -- No --> I["Select first global terminal"]
 F -- "Has value" --> J{"No task but task mode?"}
 J -- Yes --> K["Redirect to global terminal"]
 J -- No --> L{"Terminal still exists?"}
 L -- Yes --> M["Keep current selection"]
 L -- No --> N{"task exists?"}
 N -- Yes --> H
 N -- No --> I

_{Last reviewed commit: 3084e62}