Not a cop out. How the site renders is based on the browser, need to know the user agent to implement a fix. I doubt Jason runs every browser and version to test against.
So I tried with Chrome, Firefox, Brave, and Edge (yuck!), and I can confirm that it happens on all four of those browsers. Granted, I'll be upfront and admit that it is indeed a dexterity issue, but the dropdown menu does close when the cursor is/goes within the gap.
Could it be possible to make the "More Lists" dropdown menu behave like the search bar where it stays active even when the user moves the cursor away and closes upon clicking outside its area? Seems like a good compromise, I think.