🤖 fix: link workspace task cards

[ThomasK33]

Summary

Workspace task tool cards now render workspace-turn tasks as workspace instead of unknown, and the workspace badge/task ID opens the created workspace when its metadata is available.

Background

Workspace-turn task IDs are handles (wst_...), not actual workspace IDs. The task tool already returns the created workspaceId, but the UI only looked up metadata by task ID, so workspace tasks appeared as unknown and were not directly navigable.

Implementation

• Derive the task kind label from args.kind so workspace tasks render as workspace.
• Track returned workspaceId values in task, task_await, and task_list rows.
• Resolve workspace-turn handles to real workspace metadata via explicit workspaceId first, then direct metadata lookup, then persisted mux.taskHandleId tags.
• Make workspace badges and task IDs open the resolved workspace.

Validation

• bun test src/browser/features/Tools/TaskToolCall.test.tsx
• make typecheck
• MUX_ESLINT_CONCURRENCY=1 make lint
• MUX_ESLINT_CONCURRENCY=1 make static-check

Risks

Low-to-medium UI risk. The change is limited to task tool rendering/navigation, but that component handles multiple task sources (subagents, workspace turns, task_await, task_list), so regressions would most likely appear as incorrect task badges or lost workspace navigation affordances.

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Generated with mux • Model: openai:gpt-5.5 • Thinking: xhigh • Cost: $13.04

[ThomasK33]

@codex review

[chatgpt-codex-connector]

Codex Review: Didn't find any major issues. More of your lovely PRs please.

Reviewed commit: 0fe22a6e35

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