IF an absolutely baseless claim is filed COUNTERSUE for Abuse of Process for damages AND ask the court to deem him a VEXATIOUS litigator.
Suits for the SAME claim, just in different courts are barred by res judicta or Issue preclusion.
California is the only state I am aware of who "awards" vexatious status. Maine (like most states), has a abuse of process cause of action: "wrongful use of civil proceedings".
Palmer Development Corp. v. Gordon, 723 A.2d 881. Defendant must show (1) that plaintiff brought an action against him without probable cause, (2) that it was done for a purpose other than seeking a proper adjudication of the claim, and (3) that the action was resolved in his favor.
As you can see, #3 requires that the action be "resolved" before any cause of action arises. So I do not think your plan would fly for our OP.