- Make the orgeat: In a blender, combine almonds, sugar, banana, and coffee beans with 1¼ cups water and blend for 30 seconds. Transfer liquid to a pot and bring to a boil, then simmer for 5 minutes. Let cool, then strain through a cheesecloth, discarding solids. Stir in banana liqueur and orange flower water. Store orgeat in refrigerator for up to 2 weeks.
- Make the mai tai: In a cocktail tin filled with ice, combine all ingredients and shake. Strain into a 10-ounce glass filled with crushed ice.