[Question] Alternatives for one-way ANOVA with failed independence (multiple group membership)

Participants Football Baseball Tennis Result 1 Yes No No 0 2 No Yes No 1 3 No No Yes -1 4 Yes No Yes 3 5 No Yes Yes -2 Here I have a list of participants (1-5) who did a survey and produced "results". Group membership is my independent variable, and the results column is my dependent. If there was no group overlap I would simply use an ANOVA and be done with it, but because I have participants in multiple groups (4 and 5) I fail the independence assumption. I could create new "combo" categories for the cases in which there is multiple group membership and only count those participants in those