I too was having pretty much the same pattern you described. I moved to 2x week and it helped. I did get more attached and probably for a while more dependent. I still miss her between sessions and will reach out to her when I am stressed. The longing is not as intense and I have started to internalize elements of her/our relationship.

The downside for me at this point is knowing this is a long process and being afraid of something happening to her while I'm in what we call the messy middle. I know I can go on without her; what worries me is the coping mechanism I my employee to continue - the slide to being where I was before (who I was before) when it comes to dealing with these types of events in my life.