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[I of the Storm]

While smiting is generally encouraged in this game, doing so against other catholics will sooner or later get you warnings from the pope that require either a 10 turn ceasefire against that specific faction or will result in your excommunication. You should rather try either ceasefire with the Byz or destroy them and try to capture your Crusading Goals while you're still in the early period. You won't get any points for capturing the Holy Land after 1205 IIRC. So save up Europe for later.

Edit: And welcome to the Org, chrisRRR