6 players on court. Missed coaches time-out request.

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I have read through the old threads including Six on court, but... but still struggling to understand this.

Sub at a dead ball, A has throw in on backcourt endline. I administer thrown-in and partner then grants time out to A's coach after A's coach sees a problem with 6 on the floor. He said he was requesting it well before I handed the ball to the thrower. I didn't see the 6 and partner only saw 6 as he was granting time out.

We administer the T for 6 on the court but I have a mental freeze and do not charge the time out to A. I guess I was thinking that the technical came first and the TO should be ignored. A is off their bench with all personnel standing and B wants either a TO charged or a Technical.

I tell the coach we will move the players back to their bench, administer the T and move on. I kicked it, but I can't find the rule or case play to be sure. Any help is appreciated.