In a small saucepan, combine chopped shallot/onion, 2 tbsp tarragon, apple cider vinegar, and 2 tbsp water. Bring to a boil, then simmer until reduced to about 2 tablespoons of liquid (3–5 minutes). Strain and let cool slightly (keep the reduction — discard solids or save for topping).
In a heatproof bowl, whisk egg yolks, lemon juice, and Dijon mustard.
Set the bowl over a saucepan of gently simmering water (double-boiler style — water shouldn’t touch the bowl).
Whisk constantly while slowly drizzling in the olive oil (or melted butter/ghee) until thick, creamy, and emulsified (like a thin mayonnaise).
Remove from heat, whisk in the cooled vinegar reduction and remaining 2 tbsp fresh tarragon.
Season with salt and pepper. If too thick, add a teaspoon of warm water.
Slice steaks against the grain.Plate broccoli on the side (or underneath), lay steak slices over top, and generously spoon or drizzle warm Béarnaise over everything.Extra sauce = encouraged.