Let’s see what the Supreme Court has to say about it first.
You are right. But if the SCOTUS rules against congress and POTUS, what prevents them from jointly giving SCOTUS the middle finger salute? This is called a Constitutional crisis. How is that managed? Who is in control at that point? This could get real ugly!
Reminds me of Uraguay and the removal the president that deigned to exceed his constitutionallly limited term of office. It resulted in the other branches by government removing him by force with assistance of the military. Obama stood behind the removed presidente’ as you may recall.