How do I remove PS4 screws for cleaning?

My PS4 has been sounding like a jet engine for a while and I want to clean it out.

The problem I'm having is that I can remove the screws from the back. I've gone all through my T-set when the T-8 would work, but those screws are jammed in/screw-head not dripping

Is there any way I can get it open or should I just take it to a repair shop and see if they can manage it?