Preheat the oven to 325 degrees F. Line a baking sheet with parchment paper.
Combine the coconut, condensed milk, rum extract and vanilla extract in a large bowl. Whip the egg whites and salt until they make firm peaks. Fold the egg whites into the coconut mixture. Place tablespoon-size rounds of batter onto the prepared baking sheet lined, and sprinkle liberally with the chai spices. Bake until golden brown, 20 to 25 minutes. Cool and serve.