Brown the Beef

1. Cook the ground beef over medium heat, breaking it up as it browns.
2. Once no longer pink, drain off most of the grease but leave a little for flavor.
3. Season the beef with salt, pepper, paprika, and thyme or Italian seasoning.
4. Scoop the beef into a bowl and set aside.

Cook Vegetables and Potatoes

1. In the same pot, add butter, then diced onion and carrots. Cook until the onion is soft.
2. Stir in minced garlic and cook for about 30 seconds.
3. Sprinkle flour over the mixture and stir, cooking for 1 minute.
4. Slowly whisk in the beef broth, scraping up any browned bits at the bottom.
5. Add diced potatoes and cook until very soft.

Combine and Thicken

1. Mash some of the potatoes directly in the pot to achieve a creamy texture.
2. Stir in milk or half and half and allow to warm through.

Finish the Soup

1. Add the cooked ground beef back into the pot, along with the peas.
2. Simmer for a few minutes until everything is heated through.
3. Lower the heat and stir in shredded cheddar cheese until melted.
4. Taste and adjust the seasoning as necessary.