Jiri Cernoch had Czechia's goal in the first, then added another in the second to make it 3-2.
Then, when the puck dropped in the third, Czechia started the surge.
Once again, Schmidt had the second most ice time on the team in the game, playing 27:37 with two shots on goal to go along with his assist.
He finishes the tournament with two goals and six points in 10 games.
CANADA 3, FINLAND 4 (OT)
The gold medal game between Canada and Finland had two wild stretches, but in the end, the hosts from Finland took advantage of a power play in overtime to win the gold.
After a scoreless first, Dylan Cozens gave Canada a 1-0 lead four minutes into the second.
That's when things got crazy.
With Canada already on a penalty kill in the third, Cole Sillinger was assessed a high-sticking penalty - even though his stick never touched the Finnish player.
Mikael Granlund took advantage, scoring once on the five-on-three power play and then again at five-on-four to put Finland ahead 2-1.
Granlund's two goals in 1:43 was followed by an insurance goal from Joel Armia with 5:56 to go in regulation.
But Canada wasn't done yet.
Just as they did against Sweden in the quarterfinal, the Canadians found a way to rally.
Zach Whitecloud and Max Comtois scored 48 seconds apart in the final 2:12 of regulation - both times with goaltender Matt Tomkins out of the net for an extra attacker - to even the game at three.
A hooking penalty to Thomas Chabot in overtime put the Finns on the power play, and Sakari Manninen capitalized with a one-timer from the left circle 6:42 into extra time to finish the game.
Pierre-Luc Dubois and Adam Lowry were held off the scoresheet in the game. Dubois won 10 of his 15 face-offs and played 22:58, while Lowry played 15:25, had a shot on goal, and won all seven face-offs he took.
Dubois finishes the tournament with seven goals and 13 points in 10 games. His 13 points were tied for the third most in the tournament.
Lowry wrapped up the tournament with four goals and nine points in 10 games.