Related for Chullin 208:6
סוף סוף צונן בצונן הוא
In the case [of our Mishnah], however, if you permit one to place [upon the table] fowl and cheese, one might even place [upon the table] flesh and cheese, and so come to eat flesh with milk which is prohibited by the law of the Torah.<span class="x" onmousemove="('comment',' There is virtually but one precautionary measure here, namely, the placing of fowl and cheese on the table is declared forbidden as a safeguard against the placing of flesh and cheese on the table, for the placing of the two together on the table will almost certainly lead to the eating thereof, thus involving the transgression of a Biblical prohibition. Cf. Torath Hayyim, a.l.');"><sup>5</sup></span>
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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