Lich's Mirror controlled but not owned keeps triggering even if conditions aren't met anymore.

[[Lich's Mirror]] owned by another player triggers correctly on game loss, and doesn't shuffle itself.

However, after shuffling and drawing, it immediatly triggers again as soon as I click on a card in my hand (no matter if I can cast/play the card). I can skip phases or concede, but that's basically all available options.

The same happens if the game loss conditions are still met (10+ poison counters), instead of causing a draw.

I haven't tried what happens if I own less than 7 cards outside of exile.