[FEATURE] /clear and plan mode

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

When I use /clear I expect it to put me baqck in my default mode.

Proposed Solution

If I have setup plan mode as the default

{
  "permissions": {
    "defaultMode": "plan"
  }
}

then using /clear should switch back to plan mode.

Alternative Solutions

_No response_

Priority

Medium - Would be very helpful

Feature Category

Interactive mode (TUI)

Use Case Example

_No response_

Additional Context

_No response_