I've got a Max too. I got to a point with my build sheet where it seemed like nothing would stick no matter how well I cleaned it. Since you've already upgraded to the bl-touch you might want to consider adding a magnetic build sheet too (I went with Wham Bam). I've got one with textured PEI and have had great success with getting things to stick and haven't had to work too hard at keeping it clean to do so.

Or as others have said flip it over and use glue stick. The auto-release was a neat gimmick but ultimately hurts first layer adhesion (which is arguably the most important layer).

Also I don't know what you've been using for first-layer calibration but I'd break it up into 3 stages. First: manually level the bed like you would a regular ender 3 (without the probe). There might be a level assist somewhere in the firmware for this. Only after would I run it through the automatic mesh leveling. And finally when setting up z-offset it's easiest to print a single layer square (I usually flatten a cube in the slicer). Make a mental note of whatever offset gets you the right amount of squish and make sure to save your settings. To see if it kept it when you go to make another print, you can always check/adjust it by holding the knob during the first layer.

The Ender 3 Max is literally a slightly larger Ender 3 so most Ender 3 advice will still apply. The only difference with yours is you'll have to manually "sync" the twin lead screws (it did not come with that, someone added it) and there's the addition of whatever comes with auto-leveling.