Hello team, I had the same issue with Blender 2.93 (Linux Manjaro, Ryzen 9, 16 gb ram, rtx 2060)
I got the texture painting working by changing the stroke from Space to Airbrush under Brush settings->Stroke->Stroke Method.
Rate .01
JItter 0 (Select the JItter pressure option if you have a tablet)
JItter unit to Brush.