Related for Chullin 208:33
והא תאני אגרא חמוה דרבי אבא עוף וגבינה נאכלין באפיקורן עוף וגבינה אין בשר וגבינה לא
Now what is meant by 'one must clean' and 'one must rinse'?
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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