[FEATURE] Interactive session deletion in the --resume picker (like Ctrl+X in claude agents)

### 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

https://github.com/anthropics/claude-code/issues/79443#issue-4929819533

### Proposed Solution

https://github.com/anthropics/claude-code/issues/79443#issue-4929819533

### Alternative Solutions

_No response_

### Priority

Critical - Blocking my work

### Feature Category

CLI commands and flags

### Use Case Example

_No response_

### Additional Context

_No response_

Start by reading linked issue #79443 and locating the --resume picker entry point in the Claude Code CLI. Confirm the intended Ctrl+X behavior and deletion safeguards there; done means users can interactively delete a selected session from the picker as described.

Written by the indexing model from the issue text.