[FEATURE] When a session auto-continues into a new conversation due to context limits, the new session should inherit the custom title.

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

If I name a conversation "My feature" and Claude eventually creates a new conversation because the context gets too big, the new conversation doesn't have a name. This means I get lost in my conversation histories when I come back the next day.

Proposed Solution

I'd expect that new conversation to carry over the name, e.g., "My feature (2)".

Alternative Solutions

_No response_

Priority

Medium - Would be very helpful

Feature Category

Other

Use Case Example

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Additional Context

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