I don't understand. How can medals earned in shot put affect biathlon?

This is just a mechanical quirk; the athletes are different in each Competitive event and are not related in any way.

Added 22 minutes ago
If I haven't messed anything up, this is what it looks like so far.
Team Rex Ventorum
Leo (4.963), Octavian (4.296), Ajax (4.588).
Letitia (8.196), Laura (2.509), Avila (4.083).

Team Agar
Biathlete #1 (3.674), Biathlete #2 (2.715), Biathlete #3 (2.536)
Biathlete #1 (6.494), Biathlete #2 (3.65), Biathlete #3 (7.509)

Team Greywater
Biathlete #1 (3.259), Biathlete #2 (3.919), Biathlete #3 (3.542)
Biathlete #1 (6.31), Biathlete #2 (7.241), Biathlete #3 (4.361)

Team Mushroom
Biathlete #1 (6.882), Biathlete #2 (1.644), Biathlete #3 (6.579)
Biathlete #1 (2.856), Biathlete #2 (2.344), Biathlete #3 (1.761)

Team Steel Men
Biathlete #1 (3.961), Biathlete #2 (2.626), Biathlete #3 (3.988)
Biathlete #1 (-1.238), Biathlete #2 (0.59), Biathlete #3 (-0.412)