It doesn’t matter if you’re a vegan or vegetarian.
As previously mentioned the restaurant doesn’t seem to care about whether it’s your birthday or not it’s the same case with whether you are a vegan or vegetarian. If you walk into a restaurant that does not specifically mention being gluten-free or vegetarian. it’s a waste to ask them to customize the meal tailored to your needs because most likely nothing’s going to happen and they’re going to serve you the plate as it is without making any alterations.
They particularly do not claim to be a vegetarian or a gluten-free restaurant or claim to provide any such food particularly. Isn’t it obvious as if the restaurant strictly followed your orders, this would mean a lot of hustle for the chefs and they have to work from scratch to prepare your order which is particularly unfair for them and this is something they’re mostly unwilling to do..