What are you smoking? The DoD will not be compelled by the judicial branch to contract with a company they believe poses a risk to service member lives during an active war where American lives have been lost. That’s just the way it is, and it should be obvious to you if you have a basic understanding of history or law.
This is a Biden appointee with two years on the job, and this will immediately be taken up by a higher court and blocked until a ruling on the merits is made. It will be appealed. DoD might have to go to the Supreme Court before this is all said and done, but they will win in the end, and this ban will stay in place until that happens.
Did you read the order? It directly addresses your comment:
> More importantly, as discussed above, no one is entitled to conduct business with the Federal Government, see Perkins, 310 U.S. at 127, and irrespective of the challenged actions, DoW and other federal agencies are free to terminate its contracts and agreements with Anthropic, as Anthropic readily admits.
https://storage.courtlistener.com/recap/gov.uscourts.cand.46...
No one is forcing the DoD to contract with a company.