Preheat on Air Fry at 400°F set for 13-15 Minutes. Add all potatoes and cook until fork tender, rotating the potatoes halfway.
Allow the potatoes to cool slightly, and gently smash until ½ inch thick with the bottom of a cup.
In a large bowl, toss with olive oil, salt, and 1 tbsp Parmesan. Place in the basket in a single layer and Air Fry at 400°F for another 13-15 Minutes until crispy. Work in batches as necessary.
Sprinkle the finished smashed potatoes with an additional tablespoon of Parmesan.
While the potatoes are cooking, make the sauces. In a blender, add roasted red peppers, mayonnaise, sour cream, olive oil, paprika, and salt. Blend until smooth and pour into a serving dish.
Clean the blender cup, add the avocado, jalapeno, cilantro, lime juice, sour cream, olive oil, and salt. Blend until smooth and pour into a serving dish.