01 - Fire up your BBQ or indoor grill to medium-high heat, approximately 400°F.
02 - Whisk together olive oil, lemon zest, minced garlic, salt, and pepper in a shallow dish. Coat barramundi fillets thoroughly and let marinate for 10 minutes at room temperature.
03 - Lightly brush cos lettuce leaves with olive oil on both sides to promote even grilling.
04 - Place lemon halves cut-side down and jalapeño halves on the hot grill. Char for 3–4 minutes until softened and marked. Remove to cool, then finely mince jalapeños. Squeeze juice from charred lemons.
05 - Combine mayonnaise, grilled minced jalapeños, 2 tbsp grilled lemon juice, capers, dill, parsley, shallot, and Dijon mustard in a bowl. Season with salt and pepper. Refrigerate until assembling.
06 - Place marinated barramundi on the grill. Cook for 3–4 minutes per side until just opaque through the center and nicely charred. Internal temperature should reach 145°F.
07 - Grill prepared cos lettuce for 1–2 minutes per side until slightly wilted with smoky char marks.
08 - Lightly toast burger buns on the grill cut-side down for 30–60 seconds until golden and warm.
09 - Spread grilled lemon jalapeño tartare on both bun halves. Build with grilled cos lettuce, barramundi fillet, tomato slices, and cucumber. Top with bun crown and serve immediately.