Add `statusLine.hidePermissionModeIndicator` and expose `permission_mode` in the status line payload

Ask

1. Add permission_mode to the status line payload so i can add the selected permissions setting into the statusline
2. Add statusLine.hidePermissionModeIndicatorso I can hide the selected permissions option from the static (uneditable) statusline beneath it

Why

<img width="1820" height="587" alt="Image" src="https://github.com/user-attachments/assets/ee4dc9f6-4187-4416-8184-0421a2298256" />

I customized my status line, and now I have 2 statuslines.

Row 1 is my status own line

Row 2 is ⏵⏵ auto mode on and mostly only shows that

If the mode were in the payload I would render it in the status line I already have, and take the row back. Vim users can already do that (according to Claude - I don't use Vim).

Precedent

statusLine.hideVimModeIndicator exists. Its description states the principle:

Hide the built-in -- INSERT -- / -- VISUAL -- indicator below the prompt. Use this when your status line script renders vim.mode itself.

The payload ships vim.mode, so the built-in indicator becomes optional. Permission mode has neither the payload field nor the flag.

Current state (2.1.226)

Full statusLine schema:

{ type: "command", command, padding?, refreshInterval?, hideVimModeIndicator? }

Mode labels come from a fixed table:

{label:"default",         symbol:"",   color:"text"}
{label:"accept edits on", symbol:"⏵⏵", color:"autoAccept"}
{label:"plan mode on",    symbol:"⏵⏵", color:"planMode"}
{label:"auto mode on",    symbol:"⏵⏵", color:"warning"}

Scope

This will not always free the row. The same area carries contextual hints (image-paste, search-history-hint, scroll-as-arrows, tmux-mouse-hint, and others) plus the agent count. Most of those only show for 5 to 15 seconds, so it's ok. But if you accept this, I will maybe open an issue for that later as well.

My setup

2.1.226, macOS, Ghostty + tmux, custom command status line, permissions.defaultMode: "auto".