::::You are right that many authors are not so coherent about the time frame. I suppect that they aware of some events, but not necessarily the others. For many authors 1302 falls out of their horizon for the Crusades in the Levant (which often are thought to finish in 1291 with the fall of Acre). To me the clearest author in the subject is Jean Richard: Jean Richard in Histoire des Croisades, has the Franco-Mongol alliance start in earnest in the 1260s ("The sustained attacks of Baibars (...) rallied the Occidentals to this alliance, to which the Mongols also convinced the Byzantines to adhere", in "Histoire des Croisades", p.453.) and continue on-and-off until it was strongly revived by Ghazan, to continue to have an influence until 1322 ("In 1297 Ghazan resumes his projects against Egypt (...) the Franco-Mongol cooperation had thus survived, to the loss of Acre by the Franks, and to the conversion of the khan to Islam. It was to remain one of the political factors of the policy of the Crusades, until the peace treaty with the Mamluks, which was concluded in 1322 by khan Abu Said." in "Histoire des Croisades", p.468). Regards.