Multi-line in chat causes the input box to overflow

If you do shift-enter in the chat/ask box, you get line returns but the box gets behind other elements on the page.

So it works but just has some CSS issues.

This is an example with 3 lines (Firefox MacOS)

Note that his works in the box that appears in the rest of the conversation.

Looks like the recent Wolfram summary boxes broke code assistant prompt pop-up window.

The code assistant window pop-up should not be transparent or overlay properly.

Relatively simple, this is what happens if I use the search input field to ask a long question on https://kagi.com/assistant

It doesn't matter if it has already responded or not (follow up input works fine, but no the search input):

Tested on Linux, using
Firefox 123.0
Chrome 122.0.6261.111

I guess I'd want it to expand the header when the input field expands.

I.e. push this part down: