Given all they'd been through together, Odd's team is decently close knit, but they all have their own quirks with each other:

Mauve, despite still holding onto some of her snark in a lot of their interactions, is friendly with most everyone on the team, wanting to be a source of reliance and comfort as Odd's defacto ace. She's closest with both Yggy (him being a shoulder she leans on whenever she's struggling with something she doesn't want to tell Odd) and Kat (the two probably being the most openly friendly/comfortable around each other, as well Mauve being the most willing to open up/level about something on her mind with the Houndoom)

Yggy serves a very supportive role in the team's family dynamic, serving as the strong silent type that the other mons turn to for wisdom (which can take the form of gentle nudges or firm putting-a-foot-down depending on how patient the Torterra is feeling). Closest with Kat, the two serving as the "Veterans" of the group, being under Jeri's trainership before Odd.

Kat gives off sort of a big sister vibe for most the other mons of Odd's: both in a "chill, friendly overseer" way and a "occasionally liking to bully the others for a laugh" way. Closest with Yggy and Mauve, the later being the mon she can most openly riff with, which the Houndoom is thankful for.

Barb is, by default, very friendly and chipper, the Crobat being something of team mascot material and always wanting to chatter with the rest of the team, most of them being thankful for the brightness she provides (though a little less so for Mauve who, while still liking her deep down, can get a bit annoyed by the bat). Closest with HAL and Joseph, the three being of a "B-Team"

HAL, while not overtly standoffish and still liking to spend time with the group on occasion, is the most aloof on the team, the Magnezone liking to go off by themselves to get into personal projects. Despite this, they share an odd bond with Barb, them at times liking to have Barb as a parallel play member whenever HAL's getting into an experiment.

Joseph is something of a baby sibling of the group, the Dracovish similar to Barb in a way by wanting to be openly friendly, though being a bit undercut by their shyness. Closest with Barb and Mauve, the latter the Dracovish views as something of a mentor figure.