Share sheet automatically dismisses when video chrome disappears

[agg23]

Tap on a video, then tap on the Share button. Notice that the Share menu is forced closed when the video chrome is hidden.

[agg23]

This is difficult to solve. Using UIButton makes it very hard to replicate the proper styling. Cannot create a custom ButtonStyle with isPressed as .borderless is a PrimitiveButtonStyle, but isPressed is ButtonStyle. Menu doesn't respond to gesture recognizer and onTapGesture.