API Doc: https://www.notion.so/mui-org/base-ui-Menu-API-b6d240669fb242b1bf86acda25e88c21

Related issues
Each of these related issues should be considered when designing and implementing the new Menu. When this issue is resolved, these related issues should be closed.

• [menu] Menu click away is broken if transitionDuration CSS property is used #9
• [menu] Support opening the menu and selecting an item with one click #63
• [menu] Create the radio menu item #53
• [menu] Create the checkbox menu item #52
• [menu] Configure MenuItems not to close the Menu when clicked #46
• [menu] Closing the menu with Tab doesn't restore focus to the trigger element #411