Hi Gal,
Well, the issue is, that Elementor Popup registers the “click” as outside of the pop-up window, which is actually correct, but then it closes the pop-up.
Check the pop-up settings, and try to disable the pop-up closing when the document or background is clicked. I am not sure what options there are, but there should be one somewhere in Elementor to only close the pop-up when the “X” button is clicked in the corner.