...and the Chicago Bears won the Super Bowl.
Carthage was already defeated in 201 BC, but by 146 BC it literally ceased to exist. The city was completely razed, its entire army sold into slavery, and Rome decreed nothing could be built there ever again (although Julius Caesar began a new settlement there)
There was no peace treaty because Carthage simply didn’t exist.
That's silly. Carthage became a major city in the Roman Empire. Christian leaders meeting in Carthage at the end of the fourth century AD arranged the Holy Bible as we know it today.
In the seventh century, the Roman emperor Flavius Heraclius even considered moving the capital of the Roman empire to Carthage given the threat posed to Constantinople by barbarians and Muslim Arabs. Had he done so, abandoning Europe, we might today be praying to Mecca or greeting each other saying "Odin speed to Valhalla."
Carthage was eventually destroyed by the Arabs in AD 698, and after the Crusaders came through in 1270, it gave up trying to be a big city, preferring to become an upscale suburb of its former suburb Tunis.