Can a habitable planet exist into a stable three body orbit system of suns?

This is the link of what I have in mind, https://www.youtube.com/watch?v=jKvnn1r-9Iw , can a planet rotate chaotically through this system and still be habitable? If it's going to collapse after a period of time, how much time does it take for the planet to fall into something or drift away?

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Can a habitable planet exist into a stable three body orbit system of suns?

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