Prepare the ingredients as instructed.
Bring water to a boil. Remove from heat, add green tea bags, and steep for 3 to 5 minutes. Remove tea bags and keep warm.
Heat the olive oil in a skillet over medium heat. Add spinach, season lightly with salt and black pepper, and sauté until just wilted. Remove from the skillet and set aside.
Add the ground beef patties over medium heat until browned and cooked to desired doneness, turning once. Season with salt and black pepper. Remove from heat and let rest briefly.
Toast sourdough bread until golden brown.
Reduce heat to medium low. Crack eggs into the skillet and cook sunny side up until whites are set and yolks remain runny. Season lightly with salt and black pepper.
Spread goat cheese evenly over toasted sourdough slices. Top with beef patties, sautéed spinach, and eggs. Close the sandwiches with remaining bread slices.
Serve the sandwich with fruit and green tea.