In modern times, catering foods containing animal ingredients are wrongly called meat dishes. In fact, it was called fishy smell in ancient times. The so-called "livestock products" are the general names of these two categories. First of all, it is certain that eggs are definitely not "meat dishes". Real meat dishes refer to warm and seasoned vegetables, that is, garlic, leeks, onions and canals (as if they were like lilies). Buddhists believe that eating it will make people lust, so they should not eat it.
The meat we usually talk about is "fishy" food (that's how fishy meat comes from). Buddhists avoid killing, so they avoid fishy dishes. Eggs depend on whether they are fertilized or not. A fertilized egg should be able to hatch chicks, so it is alive and therefore fishy. The unfertilized eggs can't hatch chickens, and eating them is not killing, so they are vegetarian. But people who don't eat any part of animals, including eggs and milk. In addition, the above-mentioned "protein is a meat dish" (meat dishes here should refer to dishes with fishy smell) is definitely wrong.
Protein is an essential nutrient for human body. If you don't take it for a long time, it won't be long before you die of malnutrition (remember the big-headed doll incident that made a lot of noise a while ago, because those children were short of milk powder from protein for a long time). Monks and people who fast for a long time don't lack protein, because many vegetables also contain protein. For example, beans are the most abundant plants with protein, and their protein is only slightly inferior to meat. According to Buddhist scriptures and many folk records, egg white is vegetarian and egg yolk is meat, because egg yolk is the embryo of chicken. Some vegetarian restaurants use eggs as materials, and some vegetarian seasonings also use eggs as materials. So from the Buddhist point of view, scrambled eggs with tomatoes are vegetarian dishes, but from the restaurant owner's point of view, scrambled eggs with tomatoes are meat dishes.