Close open menus when another one opens

[n3dst4]

Hi! I have a UI with multiple rows, and a <DropdownMenu> on each row. Following the examples, I have:

    <DropdownMenu.Root>
      <DropdownMenu.Trigger>...</DropdownMenu.Trigger>

      <DropdownMenu.Portal>
        <DropdownMenu.Content>
         ...

The behaviour I'm seeing is that if a menu is already open, when you open a second one, the first one stays open. This way you can end up with all the menus open at once. Clicking outside the menus then closes them on-by-one in a queue in reverse order of the order they were opened.

Without taking manual control, is there a way to make it so that opening a menu closes all currently open ones?

(I saw a similar question from 2023 but the response there was about structuring the component, and I'm pretty sure I've done that right)