That's a nice, uniform pattern of
Cuts in your patch.
I believe the barrel crown is too sharp. I've had that issue with a new barrel myself. I resolved it with a piece of 4/0 steel wool and my thumb.
Just hold the steel wool under your thumb and rub it around inside the crown of the barrel...smoothing those sharp edges. Doesn't take a lot of pressure. Try to
uniformly smooth the entire radius.
One of our members posted some pictures of this operation a while back, perhaps he will see this thread and chime in.
That first patch pic. you posted looks totally "blown". That's generally an indication of weak material vs. powder charge. I used a lot of material that worked fine in my 40 cal. rifle with powder charges from 30-45 gns. 3f Goex. When I increased that to 65 or so for shooting 100 yd. That same material started blowing apart...looked just like your first picture.
That can be material that's just too thin, or...if you're using pre-lubed patches, they are too old. That's one of the problems with buying prelubed patches...you can't tell how old they are. I have had my own home-made prelubed patches do it, so it's not just the commercial products. Some patch lubes eventually attack and weaken the material itself over time.
Work on that crown first...it's the cheapest, easiest possible fix.