Hamburger Steak with Creamy Onion Gravy

Ingredients:

For the Patties:
3 tablespoons of cooking oil (canola, vegetable)
1-1/2 pounds of 80/20 ground chuck
3/4 cup of onion, finely chopped
1 large egg
1 teaspoon Tiger Sauce, or hot pepper sauce, or to taste, optional
1 teaspoon of seasoned salt
1/2 teaspoon garlic powder
1/4 to 1/2 teaspoons freshly cracked black pepper
About 1/3 cup of all purpose flour, for dipping the patties
For the Gravy:
1 large Vidalia or other sweet onion, halved and sliced (about 3 cups sliced)
1 cup of beef broth
1 cup of water
1/4 cup of all purpose flour
1/4 teaspoon of seasoned salt, or to taste
1/4 teaspoon of freshly ground black pepper, or to taste
1/2 tablespoon of Worcestershire sauce, optional
1 teaspoon of browning & seasoning sauce (like Kitchen Bouquet), optional
2 cups of sliced mushrooms, optional