If you clearly came out with the "Intentional" signal then you would have to go with the shooting foul then a "T" on the push.
Rule 10-3-8 states it is a "T" if the contact is "intentional or flagrant" when the ball is dead.
The ball became dead on the shooting foul.
Shoot 2 for the first foul then shoot 2 for the "T" and ball at the division line.
Coach is not going to like it but, it is what happened and you just call it as you see it.
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