Hello Robart,
Program.Zero (P0) is an introductory program, so it should not be too stressful for you. Most of the exercises work towards building/maintaining movement quality and is very important when you’re playing so much Ultimate every week. In-Season.One is a good program to consider as well but it could be slightly advanced as compare to P0 if you have never lifted before.
My advice is not to do any conditioning programs except 30min walks or low volume tempo runs. I’m assuming you know what tempo runs are. If not, don’t worry about it. Essentially, I would like to see that you play three times a week as normal, and slide a lifting/gym day between them, twice a week.
Please emphasize on movement quality. Prioritizing weight too early would prove difficult to maintain movement quality.