Do not take the screen protector all the way off. What I generally do is: get a piece of Scotch tape that is long enough to reach the dust particle, lightly lift the screen protector using your nail at a location closest to the issue (don’t lift the screen protector any more than you need to), slide the piece of Scotch tape under the screen protector with the sticky side facing up, once the tape is over the dust particle stop lifting the screen protector with your nail and let the tape grab the dust, lightly pull on the piece of Scotch tape until it pulls all the way out from under the screen protector.
This should help fix your issue. Good luck!
P.S. - I highly recommend doing this in a well lit area and make sure you clean dust/hair off the area where you’ll be completing this procedure before starting.