Prepare an ice bath by filling a bowl with cold water and ice. Set it aside for later use.
In a medium saucepan, bring enough water to a rolling boil to fully cover the eggs. Carefully lower the eggs into the boiling water and cook for 7 minutes for runny yolks or 7½ minutes for slightly firmer yolks. Tip: Be cautious when placing the eggs in the water to avoid cracking.
Once the eggs are cooked, transfer them immediately to the ice bath. Let them cool for about 2 minutes, or until they are cool enough to handle. Peel the eggs under slow running water and pat them dry with paper towels. Set aside.
In a large skillet, melt the butter over low heat, ensuring it doesn’t clarify. Add the minced garlic and cook for 1 minute, stirring frequently. Tip: Keep an eye on the garlic to prevent burning.
Stir in all the seasonings and cook for an additional minute. Pour in the broth, increase the heat to medium-high, and let it cook for about 6 minutes, or until the sauce reduces and thickens slightly.
Add the lemon juice and a splash of water, stirring to combine. Taste the sauce and add salt if necessary, keeping in mind that Old Bay and lemon pepper already contain salt.
Place the peeled eggs in a serving bowl, pour the savory sauce over them, and garnish with chopped parsley. Serve as is, or enjoy with crusty ciabatta bread or jasmine rice.
Notes
For a milder flavor, reduce the amount of red chili flakes. This dish pairs wonderfully with a side of fresh bread or rice to soak up the delicious sauce.