I believe the FDA is already mandated by law to release this data, which is why the original lawsuit was filed.

From a Reuters article on it: They also argue that Title 21, subchapter F of the FDA’s own regulations stipulates that the agency “is to make ‘immediately available’ all documents underlying licensure of a vaccine."

So it really sounds like this is just part of the course of making sausage of approval. You have someone already embedded in the licensure project/process where this is all (very likely largely automagically) handled as it is always expected to be released to the public.