If you think only meat is meat, it is vegetarian. If you think that only vegetables are vegetarian, it is meat. There are many creatures in the world who can't tell meat from vegetables.
But as far as eggs are concerned,
Basically, it should be meat in the end.
First, because eggs can develop into chickens, chickens are meat, so eggs are also meat dishes.
Second, eggs belong to birds' eggs in the menu. Birds are meat dishes, so eggs are meat dishes. They belong to the same category.
Third, the difference between vegetarian food and vegetarian food is to classify plant food as vegetarian food, animal food as vegetarian food, and eggs are of course animal food, so they are vegetarian food. There is also evidence that vegetarian restaurants do not use eggs, so eggs are meat dishes.
People who don't kill things may also eat eggs, because eating eggs at least doesn't kill things. Because most eggs can't cover chickens, especially the eggs sold in the market are unfertilized eggs, and they can't cover chickens if they stink.