If it goes to the 12th Amendment, don't assume Trump wins. My reading of the 12th simply says the house votes, one vote per state, yes R's own more states. The 12th however does NOT say they vote between Trump/Biden, they can vote for ANYONE. In theory they could pick Ted Cruz, or harris, or Pence, or someone that didn't run.

And my "in time" in the OP: January 20th.