"Like they've been told what to do a long time ago and they're still doing it?"

He thinks that's what 'programmed' means, at least here where nobody seems to have had anything to do with the bots for a long time until people started showing up here again.

As far as Finnick's concerned, going to the spa could be dangerous because almost anything can be dangerous. But he's good at making it through what can be dangerous. He gives the bot that's been following him a long, flat glare, then does what it clearly wants him to do and starts walking down the corridor.