I did it this way, but I don't know if this is the professionally correct procedure:
First, use a long level on the floor to search for unevenness, and for example circle the spots with chalk that need to be leveled. Then I applied a primer to the screed. Otherwise the floor absorbs the water from the leveling compound, and it hardens before it has spread. When the leveling compound is hard, check again and, if necessary, correct. Also check at the doors whether the height fits. Too low -> fill (over a large area!), too high -> sand down.
Otherwise, it is actually simple. Depending on the laying speed, apply 1-2 strips with the notched trowel and lay the floor (pull bar and tapping blocks). For more complicated cutouts, first complete the entire strip, check if everything fits, and then glue.
The adhesive is not suitable for height adjustment. And importantly, do not weigh down the parquet to press it onto the floor. It will eventually come loose again.