Do any sports teams have living, real animals as team “pets” or “mascots” or “ambassadors” or what have you?

The University of Colorado has a buffalo (bison) as a mascot. It’s always named Ralphie, and the current one is Ralphie VI. The animal storms the field before each football game, with several students holding a ‘leash’.

video here https://www.youtube.com/watch?v=n_881gHgSHU