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Hollywood preems don’t usually involve nuns in habits and an auditorium of bowed heads in pre-screening prayer, but that’s exactly what happened Thursday at New Arc Entertainment’s unveiling of “For Greater Glory” at the Samuel Goldwyn Theater.

Pic tells the tale of the bloody Cristero rebellion against the deeply anti-religious Mexican government in the late ’20s. Andy Garcia admitted, “I knew nothing about (the conflict), to tell you the truth.”

Co-star Eva Longoria, who also said she knew nada about the war, recounted the fun shoot.

“We had a whole Latino cast,” she recalled, “so every night we’d just be in the lobby, Andy playing the piano and somebody playing the guitar.”

And Garcia puffing away.

“Andy smokes cigars in life, and smokes cigars throughout the whole movie, so I kind of got nauseous ’cause I thought I was smoking a cigar,” Longoria said with a laugh. “But we had a really good time in Mexico.”