FleetView: support Shift+Tab to cycle permission modes (plan / accept-edits) in the new-task input

Summary

In the claude agents (FleetView) background-task input ("start a task in the background"), make Shift+Tab cycle the permission mode for the about-to-be-dispatched chat — the same keybind that already cycles modes inside an active chat session.

Display the currently-selected mode somewhere near the input (a chip / hint, e.g. ▸▸ mode: plan (shift+tab to cycle)), so submitting with Enter dispatches the new chat in that mode.

Motivation

Shift+Tab is already the muscle-memory keybind for switching between default, plan mode, and accept-edits inside a chat. But when spawning a new chat from FleetView, there's no equivalent — you have to:

• Relaunch claude agents --permission-mode plan (heavy, loses FleetView state).
• Prefix every first message with /plan (one-shot, easy to forget).
• Set permissions.defaultMode: "plan" in .claude/settings.json — currently not honored by the FleetView dispatcher (#59112).

For workflows where I want to think-before-acting on a fresh chat in a specific directory, none of those match the ergonomics I already have inside a chat. Extending Shift+Tab to the dispatch input makes "spawn a new task in plan mode" a one-keystroke move.

Proposed UX

• In the FleetView input box, Shift+Tab cycles permission mode the same way it does in-session: default → plan → accept-edits → ...
• The current mode is shown in the bottom hint bar near the input (e.g. ▸▸ mode: plan · shift+tab to cycle · enter to dispatch).
• Mode is sticky for the FleetView session — if I set it to plan, the next dispatch also defaults to plan until I cycle again, so I can spawn several plan-mode chats in a row without re-toggling.
• The dispatched chat starts in the selected mode (equivalent to passing --permission-mode plan to claude agents).

Related

• #59112 — permissions.defaultMode not honored by FleetView dispatch.
• #55368 — auto-enter plan mode for slash commands / sub-agents.
• #39889 — dispatch-spawned sessions ignore user's permission-mode.
• #46517 — auto-accept plan (unattended).

Workaround today

Relaunch FleetView with claude agents --permission-mode plan, or prefix the first message with /plan.