Lager- or ale-style beers are best for this soup because they don’t overpower the flavor of the cheese, but instead enhance it with a mildly bitter and nutty flavor. Garnish bowls of this soup with chopped crisp bacon or finely sliced scallions.
Press the Sauté button on the Instant Pot® and melt butter. Add carrots, celery, and onion. Cook, stirring often, until softened, about 5 minutes. Add garlic and cook until fragrant, about 30 seconds, then add mustard and paprika and stir well.
Add flour and stir well to combine, then cook for 1 minute. Slowly stir in beer, scraping the bottom of pot well, then add broth. Press the Cancel button.
Close lid, set steam release to Sealing, press the Manual button, and set time to 5 minutes. When the timer beeps, let pressure release naturally, about 15 minutes. Open lid and purée mixture with an immersion blender. Stir in cream, then stir in cheese 1 cup