Hello. I would really appreciate some feedback on this:

-Between- subject experiment with two conditions A & B: Each condition has separate 10 teams(Player 1 & Player 2 make a team)Pairs in both conditions(control & experiment) play a game. There are 20 trails per condition. That is I will have 20 data points from the same player and from the same team.

Hypothesis: The score of group A is higher than Group B. Can I use mixed modeling with random intercept as Player and team as intercepts?

What are the other options than one-way Anova or a non-parametric hypothesis test to analyze this data?