Widgets can be clicked through by default unless you add something that blocks the click. Any widget element’s visibility can be adjusted, you could set the root of the widget to:

Things get a tad more complex when you use a component:

But that’s not the issue here, right?
Hi! How can I ignore a widget while the mouse cursor is on?
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You can actually have the cake and eat it, too. Pass Unhanded for both Mouse Down/Up (up can be tricky if there was no mouse down, though) and Mouse Move. This way the widget will not consume input.