Preheat oven to 400 degrees and line baking sheet with parchment paper.
In a large bowl, whisk together almond flour, coconut flour, cream of tartar, and baking soda.
In a microwave-safe bowl, add shredded mozzarella and cream cheese and microwave for 90 seconds. Remove bowl from microwave and stir. Return bowl to microwave and microwave for another 60 seconds. Stir together until mozzarella and cream cheese are completely combined.
In a separate small bowl, whisk together 2 eggs. Add whisked eggs to dry ingredients.
Add melted cheese mixture to large mixing bowl of flour and eggs. Using your hands, knead together the dough until all ingredients are completely incorporated with one another.
Divide dough into 6 equal portions.
Using your hands, gently roll each of the 6 portions into a log shape, attaching the two ends to make the log into a circle. Place dough on prepared baking sheet.
In a bowl, whisk remaining egg. Using a pastry brush, brush egg wash over bagels. Sprinkle sesame seeds on top.
Bake bagels for 15-17 minutes, until the tops are golden brown.
Remove bagels from oven and allow to cool for at least 15 minutes.