You make the call..

[50-yard-line]

Momentum.

he got the int, we were up 4.

I was saying to a friend all the pats had ot do was have brady pooch punt it since there was 20 seconds left, pooch punt would have caught them completely off guard.

Dangerous play. They would have been coming ferociously if Brady was in a shotgun. Good chance that punt gets blocked.

Also, if time doesn't run out, you've put Seattle in range for a hail Mary. no reason to do that.

Safer play would be to put Brady in the gun, overload the right side of the line.
Take the snap, roll out of the hash marks, wait as long as possible and throw the ball as far downfield as you can - and if Seattle's got anyone remotely in the area, throw it out of bounds.

Depending on how much time is left on the clock after that. Shotgun snap, wait...step out of the endzone for the safety.

And yeah, I'm over-thinking it, too. Snap it and dive into Stork - twice. Game over.