Carthage, on account of most of the conflict being a defensive war for them against the invading Romans.
Eh the first was closer to WW1, it just started to escalate . I think Rome started the part with Carthage but it was just a series of escalating alliances
The 2nd was definitely Carthage. Hannibal clearly had an intent to get revenge.
The 3rd was definitely Rome
Fun Fact, the end of the 2nd and the beginning of the 3rd was caused by the same person. The Numidian King Masinissa. His Calvary finally broke the stalemate at Zama with the Roman Triarii facing Hannibal's elite infantry. The 3rd punic war started because Carthage defended itself without Rome's permission against Masinissa's raids who remained a loyal ally of Rome. Masinissa was 90 when the 3rd war started and died in the middle of the war. Kind of crazy!