Unfortunately, with 3 strokes you are no longer printing halftones
You are attempting to make everything solid.
For open weave garments like that, I go to 180/180 S mesh and lower my halftones to 40 lpi. Sometimes I will go down to a 150. For both I would use a 70/90/70 type blade with heavy pressure. Hard flood and a slower stroke.
My black is an in house mix using C3 black at 10% and certain other bases (a softee type product is used). I get excellent release/laydown of the ink as well as fantastic washability.
Bridging of the garment is very very difficult unless you want a THICK ink deposit.