Add a narrow setting to disable the "Suggested task" (spawn_task) chips without killing background tasks

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

The desktop app's "Suggested task" popup chips (the mcp__ccd_session__spawn_task suggestions, with "Start with worktree") are intrusive and I want them off. The problem: the only lever I can find is CLAUDE_CODE_DISABLE_BACKGROUND_TASKS=1, which per the changelog "disable[s] all background task functionality including auto-backgrounding and the Ctrl+B shortcut."

That's unacceptable as a fix — I rely heavily on run_in_background Bash commands and background agents. So today the choice is: keep getting nagged by chips, or lose a core workflow. There's no documented middle option (no CLAUDE_CODE_DISABLE_TASK_SUGGESTIONS, no suggestedTasks settings key, no UI toggle).

Proposed Solution

A dedicated toggle — env var or settings key or a Settings-panel switch — that suppresses only the proactive task-suggestion chips while leaving manual backgrounding (run_in_background, Ctrl+B) and background agents fully intact.

Alternative Solutions

_No response_

Priority

Low - Nice to have

Feature Category

Configuration and settings

Use Case Example

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Additional Context

_No response_