[Feature]: Add selection-based follow-up questions in an isolated side conversation

[FerryLF]

Preflight checklist

• I searched existing issues and discussions and this hasn't been proposed yet.

What problem does this solve?

Users may want clarification or additional details about only a specific part of an assistant response.

Currently, they need to copy the selected text into the main input box and send a new message. This interrupts the main conversation flow and adds temporary follow-up questions to the main context, which may affect subsequent responses.

Proposed solution

Allow users to select part of an assistant response and choose an action such as “Ask about selection.”

This action should open a separate dialog or side conversation containing:

• The selected text as reference
• A dedicated input box for follow-up questions
• A clear notice that this conversation is isolated and will not affect the main conversation context

For example:

This is a separate follow-up conversation. Its messages will not be added to the main conversation context.

Users should be able to close the dialog and return to the original conversation without changing its context or message history.

Alternatives considered

No response

Additional context

No response