Which one should be chosen: "every - either"? [closed]

So for constructs like these "either" implies only 2 options, while "every" implies at least 3 options. Without any other context, since there are more than three sports, "every" is correct to me.

Putting "each" in the blank creates a sentence with the same logical meaning as putting "every" in the blank. However it implies "each in their own specific way", versus "every" implies that all sports share a similar sportsy-ness that you like and that is why you can't have a favorite.

Finally, using "each" also implies that there is a finite number of sports that the person is considering, where as using "every" does not.

That being said, using "either sport is" could also work if someone was asked to pick a favorite between two sports. However "both sports are" would be more common to use.