The only way to eat 100% ‘vegan’ in the USA is to go to a 100% ‘vegan’ restaurant. The only way to eat 100% kosher in the USA is to go to a 100% ‘kosher’ restaurant.
America is a Christian nation (that shows tolerance for other religions - not the other way around as some would like it to be) and so our restaurants are geared towards Christians. Jesus lifted Old Covenant restrictions on foods, so it’s not a sin for Believers to eat pork or to store foods all in one fridge or cook all in one oven.
Restaurant grills are cured and so retain at least some animal fat within their surface. The omelette is prepared on this same grill that is used for meat for lunch and dinner. And it is served on plates with utensils that have also been used for meat. The eggs are likely stored in the same walk-in as meat and milk. So, let her sue, award her $1, and send her on her way.
Mark, Chapter 7:
9 And he continued, “You have a fine way of setting aside the commands of God in order to observe[c] your own traditions! 10 For Moses said, ‘Honor your father and mother,’[d] and, ‘Anyone who curses their father or mother is to be put to death.’[e] 11 But you say that if anyone declares that what might have been used to help their father or mother is Corban (that is, devoted to God)— 12 then you no longer let them do anything for their father or mother. 13 Thus you nullify the word of God by your tradition that you have handed down. And you do many things like that.”
14 Again Jesus called the crowd to him and said, “Listen to me, everyone, and understand this. 15 Nothing outside a person can defile them by going into them. Rather, it is what comes out of a person that defiles them.” [16] [f]
17 After he had left the crowd and entered the house, his disciples asked him about this parable. 18 “Are you so dull?” he asked. “Don’t you see that nothing that enters a person from the outside can defile them? 19 For it doesn’t go into their heart but into their stomach, and then out of the body.” (In saying this, Jesus declared all foods clean.)
20 He went on: “What comes out of a person is what defiles them. 21 For it is from within, out of a person’s heart, that evil thoughts come—sexual immorality, theft, murder, 22 adultery, greed, malice, deceit, lewdness, envy, slander, arrogance and folly. 23 All these evils come from inside and defile a person.”
“so it’s not a sin for Believers to eat pork or to store foods all in one fridge or cook all in one oven.”
Jewish law never forbid non-Jewish people from eating pork. Have at it.
Unlike Muslims, we don’t push our laws on others.
(Or that’s the way the Law is written. What liberals do? Who knows?)