Well most of what Congress does is unconstitutional anyway, at least as far as I figure. They outsource virtually all of their mandate including the ability to declare war. If they knew he was not eligible they would say “so what, everyone does it, its his own personal business, unless he does something wrong what’s the harm, we’ll form a blue ribbon committee to decide for us... yada yada yada”
Tying to imagine ‘reasonable’ answers here; is a challenge; given ‘Reason’ seems in short supply when it comes to those elected; and those doing the electing. . .