Preheat oven to 400 degrees F. Prick sweet potatoes with a fork, rub with olive oil and salt, and bake on a sheet pan 40 to 45 minutes until fork-tender.
Mash together softened butter, brown sugar, cinnamon, and salt for the brown sugar butter. Set aside at room temperature.
Pat pork dry. Spread a thin layer of Dijon over the surface if using. Mix salt, pepper, garlic powder, paprika, and thyme. Rub evenly over the pork.
Heat olive oil in an oven-safe skillet over medium-high heat. Sear pork on all sides until browned, 6 to 8 minutes total. Add 1 tablespoon butter and baste pork briefly. Transfer skillet to the oven and roast 15 to 18 minutes until internal temperature reaches 145 degrees F. Rest 5 to 10 minutes before slicing.
Return skillet to the stove over medium heat. Add broth or wine and scrape up browned bits. Stir in Dijon mustard and simmer 2 minutes. Whisk in butter and remove from heat.
Boil green beans in salted water 3 to 4 minutes until crisp-tender. Drain. In a skillet, heat butter and olive oil over medium heat. Saute garlic 30 seconds, add green beans and cook 1 to 2 minutes more. Season with salt and pepper. Stir in or sprinkle almonds before serving.
Slice sweet potatoes open and top with brown sugar butter. Slice pork and drizzle with pan sauce. Serve green beans alongside.