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Is it possible to implement movement patterns in 2D with A*?

Hi all! I just got this asset from the asset store, and I skimmed through the documentation. It seems very powerful! However, I have one quick question. I’m currently developing a 2D platformer game where enemies attack from the edges of the map. And for their movements I’m trying to add some diversities in their patterns like sine function, back and forth, etc. while implicitly staying on the shortest path generated by the system (E.g. have a movement pattern diversity while going from waypoints to waypoints towards the target). Would it be possible to do so with A*? Thank you for your time and help.

I’m willing to pay someone if I can get some help… thanks a ton