As you are about to enter Cerulean City, You will see 2 men standing in a clearing, facing each other. One of the men teaches a pokemon in your party "Dynamic Punch",
the other teaches your pokemon "Dynamic Kick".
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Fire Punch is not an TM or HM in Pokemon FireRed. It is learned by level up or by breeding for Pokemon that can learn it.
You can't get a TM of it.
You can find it in Silph Co. on 5F.
The only way Alakazam can learn Fire Punch is through a Move Tutor on Pokemon Emerald Version.