[Feature Request]Enable Starting a New Conversation from the "..." Button During Bot Conversations

**Describe the solution you'd like**
When conversing with the Bot, allow starting a new conversation from the "..." button.

**Why the solution needed**
Improve UX

**Additional context**
Add any other context or screenshots about the feature request here.

The issue names no files or tests. Start by locating the Bot-conversation UI and the “...” button entry point, then trace how conversation actions are handled. Done means the button offers a way to start a new conversation during a Bot conversation and the existing actions still work.

Written by the indexing model from the issue text.