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>How is it going to convince Jack to switch his shift and come in to cover open on Sunday

Offer triple time taken from what otherwise would've been the human manager's pay?

How is it going to know when the workers then realise this is an option and collude to grief the AI manager in to paying them triple time?

This is called going on strike usually

Workers who often don't cover their scheduled shifts get fired anyway, so that problem would solve itself without the AI knowing they're colluding