Shabbat 19A

כותח הבבלי וכל מיני כותח אסור למכור שלשים יום קודם הפסח.

With regard to Babylonian kutaḥ, a spice that contains leavened bread crumbs, and all kinds of kutaḥ, it is prohibited to sell it to a non-Jew 30 days before Passover. Because kutaḥ is used exclusively as a spice, it lasts longer than other foods.

תנו רבנן: נותנין מזונות לפני הכלב בחצר. נטלו ויצא ⁠— אין נזקקין לו.

A baraita states in a different baraita: One may, ab initio, put food before the dog in the courtyard on Shabbat, and we are not concerned that the dog may lift it and carry it out to the public domain. If the dog lifted it and exited the courtyard, one need not attend to him, as he is not required to ensure that the dog will eat it specifically in that courtyard.

כיוצא בו: נותנין מזונות לפני הגוי בחצר. נטלו ויצא ⁠— אין נזקקין לו. הא תו למה לי, היינו הך. מהו דתימא: האי רמי עליה, והאי לא רמי עליה ⁠— קא משמע לן.

On a similar note, the baraita continued: One may place food before the non-Jew in the courtyard on Shabbat. If the non-Jew lifted it and exited, one need not attend to him. The Talmud asks: Why do I need this as well? This case is the same as that case. The halakhot with regard to the dog and the non-Jew are identical, as Shabbat prohibitions do not apply to either of them. The Talmud answers: There is a distinction. Lest you say that in this case, the case of the dog, responsibility for its food is incumbent upon the owner of the courtyard who owns the dog. And in this case, the case of the non-Jew, responsibility for his food is not incumbent upon the owner of the courtyard. Therefore, in a situation where there is concern that Shabbat will be desecrated, there is room to say that one may not give the non-Jew his food. Therefore, the baraita teaches us that in that case, it is also permitted.