Pour boiling water into a 4 quart slow cooker. Place tea bags in slow cooker and secure lid with tea bag tabs hanging outside. Let steep for 10 minutes. Remove tea bags and discard. Stir in rum and vodka. Add cinnamon sticks. Cover and cook on low setting for 2 hours. Stir in condensed milk and switch to warm setting for serving.
Serve in Irish coffee mugs with cinnamon stick swizzles.
Please Note: Nutritional values listed may vary from final results depending on actual measurements and brands used to prepare the recipe.