[FEATURE] /rename should update the session name shown in /resume list

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 using /rename to name a session, the name only appears inside the active session. The /resume list still shows the auto-generated summary. The /rename name should be used in the resume list too.

Proposed Solution

The /rename name should be persisted and used as the display name in the /resume session list. If no /rename was set, fall back to the current auto-generated summary.

Alternative Solutions

_No response_

Priority

Medium - Would be very helpful

Feature Category

CLI commands and flags

Use Case Example

_No response_

Additional Context

<img width="939" height="292" alt="Image" src="https://github.com/user-attachments/assets/5bed3496-d57f-4b3b-8e31-39405285d6af" />

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<img width="918" height="569" alt="Image" src="https://github.com/user-attachments/assets/c8a6b61b-5662-4515-a739-1f9dc1567ae8" />