Let the sliced brie sit out at room temperature while you prepare the other ingredients.
Prep the ingredients as described above (e.g., mince herbs, grate garlic, and slice bread).
In a bowl, mix butter, chives, parsley, Dijon mustard, and garlic until combined. Season to taste with salt and pepper.
Add arugula to a bowl, toss with lemon juice, and season with salt and pepper.
Spread the prepared butter generously inside each sub roll. Layer with ham, brie, and a handful of arugula. Season with salt and pepper, then cover with the top half of the roll.
Prepare the lemonade by combining lemon juice, water, and sugar. Stir well. Serve over ice if desired.
Plate the jambon beurre sandwich with potato chips and pickle spears. Serve with a glass of lemonade.