Related for Chullin 208:25
אלא הא קמשמע לן
He was served with cheese which he ate and then was served with meat which he also ate without washing his hands [between the courses].
Shulchan Arukh, Yoreh De'ah
Even with meat of a wild animal and a bird it is forbidden to put them on a table where one is eating cheese, so that he doesn't come to eat them together. But [to put] on a table that's meant for arranging cooked foods, it is permitted to put one next to the other.
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