Bring a large pot of salted water to a rolling boil, then gently lower all 12 eggs using a spoon. Boil for exactly 12 minutes—this CIA-approved timing creates perfectly set yolks with no gray ring. Set a timer to avoid even 30 seconds of overcooking, which compromises the delicate texture.

While eggs cook, prepare an ice bath by filling a large bowl with ice water and a pinch of sea salt. Transfer the cooked eggs immediately into the ice bath within 10 seconds of the timer—this stops the cooking process instantly and ensures the most vibrant yolk color possible.

Once completely chilled, gently tap and roll each egg to crack the shell evenly all over. Peel under cool running water, starting from the wider end where the air pocket makes separation easier. Pat each peeled egg dry with paper towels before slicing.

Carefully halve each egg lengthwise, creating 24 boat-shaped halves that will showcase your elegant deviled eggs filling beautifully. Use a small spoon to remove the yolks into a separate bowl, working gently to avoid damaging the delicate whites that will serve as vessels for the filling.

Mash the yolks with a fork until completely smooth and lump-free—about 15 seconds of consistent pressure. Fold in mayonnaise, Dijon mustard, apple cider vinegar, smoked paprika, cayenne, salt, and pepper using a rubber spatula with gentle, deliberate strokes to incorporate without deflating the mixture.

Stir in fresh chives, capers, and lemon juice, tasting for seasoning adjustments at this point. The filling should taste bold and well-defined, since the egg white's mild flavor will absorb and mellow these bright notes subtly.

Transfer the filling to a piping bag fitted with an open star tip for professional presentation. Pipe approximately 1 tablespoon of filling into each egg white half, creating a decorative peaked dome that catches light beautifully.

Garnish each half with a light dust of paprika, a single caper for briny punctuation, and one fresh chive blade for vertical interest. Chill until serving, up to 4 hours ahead for best flavor development.