They need a black and white variation, different sizes, and the underlying component assets.
So Dalle2 might actually be able to provide that in the future as well.
But for now - it's going go give you an 'image' which you have to get an artist to then clean up int a proper logo with assets.
I'm playing with DallE-mini on hugging face and am generally unimpressed, I'm not sure if its' the same Dalle.
I tried the main DallE website sadly don't have an 'invite'.