So the girl was setting up a 4D chess scheme and the MC stepped up to the same “dimension”, that or he has a main protagonist complex (ironically) and the girl is just confident and happen to want the same card.
Either way, the director is probably happy the participants are hyping the fights.
Anyway, I’m more curious how many participants at that stage have named their cards because from what we have seen so far is that cards can grow if you commit to them. However, many at this similar stage as the MC don’t seem to do this because they’re eyeing a possible resale (and probably upgrade to better cards) and not naming them (also means that if the monster dies, it is lost).