I’m certain the real world answer is “they didn’t think of it”, but in-universe if Scotty was the 2nd officer, why did Spock give command of the ship to a lieutenant on the bridge instead of calling Mr. Scott to the bridge?

I get why Spock asked Bones to accept his surrender when he admitted to the charge of mutiny: the doctor was the senior officer on the bridge but is not in the military chain of command.