Square easyouts have seldom worked well for me on tiny screws, they seem to expand the whole screw before they get enough bite to work.
The Allen wrench can work, I've used it.
The even better option is a small torx bit, they seem to bite better for me.
These days it seems every tool kit comes with small torx bits that are never used, so pick one that is small enough to fit and that you have a drill bit that is a skosh smaller and give it a try.
Robert