Amazon search for tiny screw extractor.
Looks like a screwdriver with a slit and the right size might still be able to grab it.
Maybe try using a file to make flat sides on the outside of the head so you can use a wrench on it? (Not sure if that would be better or worse than the Dremel/slot idea... you would risk scratching the surface of the object it's on.)
Is the groove for the screwdriver filled in? 🤨
Maybe just chisel out your own grooves to use whatever style driver you like. Should be doable with a dremel if you have a small enough cutting wheel.
If you didn't have a Dremel, try channel lock pliers or vise grips. It's not going to be in there right and rusted or anything, you just need something to grip it.
Id probably try a pair of pliers
If you have one of the other screws, and you're dead sure it's the same size, you can use a tiny drill bit that is the size of the screw's shaft minus the threads. Careful drill through the center. The Phillips divit should center your bit.
You might only use this after trying the others here.
I think the answer is no.
sometimes, you can weld something on and use that as a handle
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