[FEATURE] clear button for dispatch

### Preflight Checklist

- [x] I have searched [existing requests](https://github.com/anthropics/claude-code/issues?q=is%3Aissue%20label%3Aenhancement) and this feature hasn't been requested yet
- [x] This is a single feature request (not multiple features)

### Problem Statement

The dispatch feature in the iOS app keeps accumulating a gigantic backlog of unrelated junk queries and discussions from before.

### Proposed Solution

please create a button to clean the conversation and context.

### Alternative Solutions

create a new dispatch session button but for this there are already feature requests

### Priority

Medium - Would be very helpful

### Feature Category

Other

### Use Case Example

I want to give instructions and not worry about wasting billions of tokens on resending previous conversations and not worrying about tainting a new conversation with old nonsense

### Additional Context

these feature requests keep getting automatically closed so we need to create new ones every once in a while which is very stupid

Start by locating the dispatch feature and its conversation/context handling in the iOS app. Clarify whether the requested control should clear the current conversation and context or start a separate dispatch session. Done means the chosen behavior is available through a clear button without retaining the unwanted backlog.

Written by the indexing model from the issue text.