[terminal chat] Icons in the pane were not what I expected

[TheJoeFin]

Description of the new feature

I had to hover over the icons to see what they did, and it was not what I expected.

What I thought the icons did:

Proposed technical implementation details

The icons could be changed, here are some fluent icons I think would be fitting

Windows Terminal Canary Version: 1.25.3041.0

[DHowett]

This is excellent, thank you.