the way i see bayo and akira’s relationship in smash is basically her relationship w/ loki in 2
back-and-forth banter, a little friendly rivalry, a sense of an older/younger dynamic (bayo might call him ‘little one’ for instance bc. yknow. he’s a teenager), but still clear mutual respect and care for each other
she wouldn’t be like his “mom” necessarily, maybe just like an older mentor figure
she might jokingly ‘mom’ him but wouldn’t intentionally think of herself as or act as a mother figure
her getting the “mom” label is a meta for another day (and i admit i’ve been a little bad on that myself, trying to work on that), but it would never be intentional and she’d never see herself as that
tl;dr i think her and akira/joker are Friends but bayo still looks out for him