Be that as it may is a formal way of setting an objection aside. Be that as it may, the deadline has not moved.
It concedes nothing and refuses to argue, which is what makes it useful and slightly cold. It is one of the last survivals of the old subjunctive in ordinary speech.
1phrasebe that as it mayA formal way of setting an objection aside.
“Be that as it may, the money has already been spent.”
be that as it may is a phrase.
Practised in Small Talk & Everyday Phrases