Where’s that graphic from? Off the top of my head, that Red Tail also has the Operation Overlord markings and the Tuskeege guys did not participate in that invasion, they went in later in the war.
In the George Lucas version, they probably will.
They were posted to Africa first, flying P40s and then they had P47s I believe, flying ground attack missions and finally assigned to Europe and flying P51s on bomber escort duty. This is how I remember their history and may be wrong.