Avodah Zarah 76: Closing the Relationship between Jew and Non-Jew

A question from a mishnah in Zevachim that contradicts the text here - because of the purging, preparation of the vessels here. Specifically on how that which is absorbed is either permitted or forbidden - and whether that makes a difference. But are the sacrificial meat and the non-Jew's utensils really comparable? Also, a story to close the tractate - that highlights the discussions from the tractate - including non-Jewish practice, including the relationship and dynamic between Jew and non-Jew. Plus, the need for taking care with Halakhah - and making sure that you represent yourself well.