Filament detaches from printing plate during printing

Hello,
I have a problem again.
With estimated every second print, the filament comes off the printing plate.
I use the “Bambu Dual-Sided Textured PEI Plate” so I do NOT have to use the “Liquid Glue for Build Plate”.
Furthermore, I use the proprietary PLA from Bambu.

I would rather use the “tree support” than the “normal support” because it saves material and is faster.
But with the “tree support” it usually happens that the material comes off the printing plate during printing.

With the normal support it doesn’t happen BUT everything is full of support material.
I mostly print rather fine things, and it happens from time to time that I break off something from the 3D print when removing the support.

Does anyone have the same problem and has it solved?
Is the “Bambu Dual-Sided Textured PEI Plate” maybe just unusable?
Should I better use the smooth plate with the “Liquid Glue for Build Plate”?
(I would rather not…)

Should I maybe always use the “Baum Hybrid” as support type?
Is that better for my problem?

Thank you guys for your help.

About the settings:
I always try a lot with the settings, but in the end I always end up with the default settings, because I think to myself:
They have already thought of something.
So settings (for example “Upper Z distance”) is usually all on the standard settings.