Second pair on an ace river: call the shove?

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1. 0:00River. The button shoves.
2. 0:02You have king-ten suited, on five, nine, king, three, ace. Second pair. Your hand just turned into a bluff catcher. Call, or fold?
3. 0:10Three-bet pot.
4. 0:11You check the flop. They bet, you call.
5. 0:13You check the turn. They bet, you call.
6. 0:16The river: an ace. You check, and they shove: sixty-nine into sixty-four.
7. 0:21To call, you need thirty-four percent.
8. 0:23The solver calls this hand every time. Its equity: thirty-six percent. More than the price.