Use the standard popover API where appropriate

[daneah]

The problem

As much as possible, we wish to rely on web standards rather than custom behavior, such that we enjoy more consistency of expected behavior and don't fight the browser any more than we must.

The solution

Similar to the desire to use dialog for modals (#347), for popovers and potentially dropdown and other components, use the popover API where appropriate.

Alternatives considered
Indicate any alternative solutions or features you've considered.

Additional information
It's possible that Floating UI already does some with this under the hood?

[sirrah-tam]

Some relevant info to keep in mind around the accessibility of the popover attribute

• Popover Accessibility | Hidde Blog