Modelling a multi-star system with numerous planets and moons

Would it be in ANY way possible to have 3 or more stars within a few light-hours (up to several light-days between the most distant stars) of each other, and for the resulting orbital mash-up to allow for numerous planets to have stable orbits with moons?
These do not necessarily have to be on a single plane, and possibly work with several super-giants providing gravitational wrangling.

It would be nice if the planets could be atmospherically stable/habitable, either by incredible magnetic fields providing significant radiation shielding, or just by the stars being weaker and the planetary atmosphere being high in greenhouse gasses in order to hold onto the heat, or something else.

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Modelling a multi-star system with numerous planets and moons

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