Please don’t.
Dogs eat meat, they can survive without it but their bodies are adapted to do best with meat and their behaviour and build very clearly shows they are predators.
Everything in their behaviour screams meat eating predator - getting excited with squeaky toys, shaking toys, disembowelling toys, sniffing the air, being movement motivated and enjoying chasing things and so on.
You wouldn’t feed a rabbit meat based food because it isn’t their natural diet.
It isn’t what they want to eat, it isn’t what their bodies are made to eat and unless it’s extremely highly processed and complete and utter laboratory frankenfood will make them ill.
Just because science means you can doesn’t mean it is right to do so.
Me and DH are vegetarian, we have a dog.
We wouldn’t ever consider feeding her a vegetarian diet, just as we wouldn’t feed a rabbit or guinea pig a meat based diet.
Don’t be so bloody selfish.
Feed the dog meat and when it dies pick a vegetarian pet next time.