I''d like to propose a feature request.

Could you please create a filter that filters the pets which are part of a PetBattle Team?

That would have the effect of showing either all pets except those in a team, or only those in a team. Both ways would be available by including either portion of the pets in the list, similar to the way collected and not collected pets can be shown or hidden respectively.

As an alternative (or additional) way of making teamed pets distinctively recognisable, they could be tagged with a symbol (similar to favourite pets) or their own background colour.

There could also be an option to include teamed pets with the favourite pets, so that favourite & team pets (intermixed) are sorted together to the top of the list (depending on sort order). This sorting option would be separate from the filter option.

Altogether, this would effectively allow to show or hide teamed pets separately from the collected and the favoured pets, and of course they would still be subject to any other filters (and sorting).

I surmise that this enhancement would make finding teamed (or unteamed) pets in the list, and thus managing teams, a bit easier.