Nine-high, every draw missed: shove the river?

What is said

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1. 0:00River. The cutoff checks to you.
2. 0:02You have nine-eight suited, on seven, queen, ace, three, six. Nine-high: complete air. Shove, or check?
3. 0:10Three-bet pot.
4. 0:10They check the flop. You bet, they call.
5. 0:13They check the turn. You bet, they call.
6. 0:15The river: a six. They check to you.
7. 0:18Your shove needs folds fifty-two percent of the time.
8. 0:21The solver shoves this hand every time. Checking can never win, and they fold sixty percent.