If you can go ahead and enjoy life without having women in it, and your life purpose is a priority over that, then maybe you could do life purpose first. I don't think I could just focus on a life purpose without any women in my life. Not having any women or sex, my mind is totally consumed with the thought of women. It is even when they are in my life, but at least if I have a girlfriend I can keep it at bay while working on myself.
I did it in this order: Figured out a way to earn income where I could still be learning and growing in some way (by dicking around in college for 7 years, and finally dropping out and becoming a web developer). Worked to get pickup to a decent level and found a girlfriend. Now focusing on life purpose work since I am still with my girlfriend.
At best, if I had no girlfriend I would split them up. I would work on life purpose while also going out a couple nights a week. But it's up to you of course. If you can tolerate living without women. You don't even need to be getting laid all the time or anything, but I would at least want to go out and be talking to girls and increasing my social skills. Not having any romantic interaction with women at all for months and months is a fucking bullshit way to live in my opinion.
Last time I was trying to work on figuring out a life purpose while also doing pickup. I paid someone named Dain Miller to get some coaching advice for my programming career. He told me to go and sit down and figure out what the one thing I wanted to focus on in life right now was. I realized that it was unquestionably girls. I had been waiting years and years to be done with college and earning income so I could finally do pickup every day.
I was starting to show some great results after about 1 year of focusing on pickup, the last 6 months of those was going out every single night. Having a girlfriend is great, but i do miss going out. Was doing an open relationship at the start, but the fire to go out and hit up women has tuned down since having a great girlfriend in my life. SO I guess this is a good time to focus on building up other areas of life. Haven't really wanted to go out that much since getting a GF, even though I moved to New York where she lives, and that's one of the best places in the USA to go beast mode doing pickup. (I was in New Orleans before, which was still pretty good but lacked an easily accessible online community).
That's my take on it.