If you drain coolant, lookup the procedure to remove air as well.
It something allong those lines:
Fan speed lowest but still on
Temp at highest option
Select eco pro, this was missing on a lot of forum posts.
Then floor the accelerator for 10 seconds
Start the car, tacho will give confirmation that you are starting a procedure. Let it run for 8 to 12 minutes. It will give a message on the tacho again that it is finished.
Then fill up coolant if needed.
I do only have access to ISTA in the workshop of a family member, so can not look it up for you. Maybe some else over here can help you out on that. Or confirm those are all the required steps.
Remove the black housing indeed, 3 bolts in it. 2 in the front, and one in the back. 2 in front are yellow in my edit.
With all this, I love the simplicity of wrenching on my (former) e46 even more. I’d rarely needed to lookup procedures, programming etc. It’s getting harder to work on your own stuff, but happy to share.
I do appreciate other forums / post sharing useful info on here a lot. But the technical stuff is easier to read than to write for me as German is not my native language.