[pickers] The date picker shouldn't steal the focus when closing #13332
Description
Steps to reproduce
Link to live example: (required)
Steps:
- Open https://mui.com/x/react-date-pickers/#overview
- And voila:
Screen.Recording.2024-06-01.at.20.44.06.mov
Current behavior
The focus is moved back to the button that was clicked to open the popup.
Expected behavior
The focus stays on the new target
Context
I think that https://ui.shadcn.com/docs/components/date-picker behaves correctly for comparison.
Your environment
@mui/x-pickers v7.6.1
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