What were to happen if the tipping point state were to end with an exact tie?

[Skill and Chance]

State law generally controls the breaking of ties.  A majority of states use a game of chance, so the two tied presidential candidates would appear together and draw a straw or flip a coin or a judge would draw an envelope with a name out of a jar.  New Mexico uses a hand of poker. 

A significant minority of states call for a new election to resolve the tie, but IDK how that would work in a presidential race.  It would be a total mess with the EC certification deadlines. 

A handful of states let another elected official pick the winner unilaterally (usually the governor).

[Skill and Chance]

New Mexico uses a hand of poker. 

Man, that would be a hilarious hypothetical if the two candidates had to play poker to decide the presidency.

Flip NH to Gore in 2000 and all the recounts and litigation go to NM (Gore by 366 votes as certified).  This might well have been how it ended!