Yeah making PulseAudio play nice with JACK seems to be tricky. Over time I configured it in four different environments (different Linux Distributions and/or Versions) and for each of them I had to do things (at least slightly) differently to get them to work.
I have come to describe PW as like a superset of JACK and PulseAudio.
Also to note, #pipewire is very active on freenode, and wtay regularly drops into #lad.
for me https://github.com/brummer10/pajackconnect has worked flawlessly... but I've switched to pipewire and I'm not looking back !
Definitely for day-to-day use the Ubuntu Studio app has actually been the most helpful (direct control / visibility into the Jack <-> PA bridging is great), or a combo of qjackctl and Carla for more Audio-focused stuff.