He should have punted and put trust in defence.
On one side of the coin, you have Tom Brady, questionable best QB in NFL. Most of the time, Brady gets them the 1st down.
On the other side of the coin, your allowing Peyton Manning time to win game. Who is also in the convo for who is best QB in NFL.
It's a tough call, Belichick relied on Brady many times as we know, just this time it didn't work out for him. Can't get every decision right.