[BUG]: "Operation cancelled by user" is re-injected as a user message after cancelling a turn

Type rg --version### What happened?

When I cancel an in-progress turn (Esc / Ctrl-C), the line `Operation cancelled by user` is sent back to the model as if it were a new **user message** (it arrives with its own fresh timestamp). The agent then "replies" to it as though it were a real instruction/content, instead of the cancel simply aborting the current operation silently.

This produces phantom turns: every cancel results in the assistant responding to nothing.

### Expected behavior

Cancelling a turn should abort the current operation and return to the prompt without injecting `Operation cancelled by user` into the conversation as a user turn. The model should not be prompted to respond to it.

### Steps to reproduce

1. Send a prompt that triggers tool calls / a longer operation.
2. Cancel mid-operation (Esc / Ctrl-C).
3. Observe `Operation cancelled by user` appears as a user message with a new timestamp, and the assistant generates a reply addressed to it.

### Notes

- Reported as a regression — a user observed this did not happen in earlier versions.
- Likely related to (but distinct from) the closed #2502 "Stuck in \"Cancelling\" after operation cancelled by user".
- Behavior is client-side and version-dependent, not account- or repo-specific.

### Version

1.0.63

### OS

macOS (Darwin)

Start at the client-side cancellation path for Esc/Ctrl-C and search for the exact text `Operation cancelled by user`. Trace how cancellation output becomes a user message, then verify that cancelling returns to the prompt without creating a user turn or triggering an assistant response.

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