Oh no CaptainSandL....you are quite incorrect on this one.
I'm here now looking at the current CFM International SOIs, and they tell me that the 3 minutes is to be the normal, following the use of reverse thrust!
No mention of 'normal' or 'max', just reverse.
Taxi time can be used as part/all of this time.
The one minute cooldown time is an unusual once-not-to-often thingy, and is not to be come the norm.
But the one minute is the absolute minimum!
Also, just as an aside, warmup times in excess of three minutes before setting takeoff power, will reduce the maximum peak EGT during the takeoff, which is something we all like!
Cheers...FD...