Make the Garlic Aioli: In a small bowl, combine the mayonnaise, minced garlic, lemon juice, salt, and pepper. Stir until smooth, then refrigerate while you prepare the remaining ingredients. This gives the garlic time to infuse the sauce with flavor.
Cook the Mushrooms: Heat the olive oil and butter in a skillet over medium heat. Add the sliced mushrooms, season with salt and pepper, and cook for 8 to 10 minutes, stirring occasionally, until golden brown and most of the moisture has evaporated. Set aside and keep warm.
Prepare the Burger Patties: Divide the ground beef into four equal portions and gently shape them into patties slightly larger than the buns. Season both sides with salt, pepper, and garlic powder, being careful not to overwork the meat.
Preheat the Grill: Heat your grill to medium-high, about 400°F to 450°F (204°C to 232°C). Clean and lightly oil the grates to help prevent sticking.
Grill the Burgers: Place the patties on the grill and cook for 4 to 5 minutes per side, depending on thickness and preferred doneness. During the final minute of cooking, place a slice of Swiss cheese on each patty and allow it to melt.
Toast the Buns: While the burgers finish cooking, lightly toast the brioche buns on the grill until golden brown. This adds texture and helps keep the buns from becoming soggy.
Assemble the Burgers: Spread garlic aioli on both sides of each bun. Add the grilled burger patty, top with the sautéed mushrooms, and finish with any optional toppings such as lettuce, tomato, red onion, or arugula.
Serve and Enjoy: Serve immediately while hot and fresh. The result is a juicy burger loaded with savory mushrooms, melted Swiss cheese, and creamy garlic aioli for a gourmet burger experience that's perfect for cookouts, burger nights, and family dinners.