Hey Ivo,
The good thing is you are noticing it. That’s a great start. I had a similar experience. Every time I practice, and sometimes when going about my day, I have small insights. I practice the concert hall breath daily and in between exercises.
When I practice, and the mouthpiece touches my lips, I still activate the throat and stomach muscles. But I catch myself, take a concert hall breath and remain conscious of my relaxed throat and stomach muscles.
I’ve been using this method for a few weeks and am still learning a lot about my playing habits.