But you don't necessarily want to take too many AI cities too early
Yes of course XP is king in a one unit per hex game against a dumb AI unit swarm ! Which is why you want to farm barbs and attack the AI, not only to steal their workers / make money pillaging their lands but also for the XP.Yet CB's are better with XP when you upgrade them to Xbows around t.100. Some training will make them stronger and keep AI from growing a force too large to handle.
CB rush. Settle 3 or 4 cities, preferably with good production tiles & luxes. Concentrate on archers. Tech for Contruction. You should be able to produce/buy 6-8 Archers before turn 55-60. Sell a couple of luxes/horses and mass upgrade your archers to CB. Capture few cities. Regroup and upgrade for Xbows or tech for victory.
^This
Works like a charm.
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Just bring more Xbows and meatshields on Immortal, and watch your terrain
^This