Add the orange, lime, and lemon pulp to a large pitcher and lightly muddle them together just until juices are released and aromas bloom, keeping the motion gentle so the pulp cracks but does not turn into purée; add the honey and stir until fully dissolved, then pour in the fresh orange, lime, and lemon juices and mix gently to combine.
Pour in the ice-cold water to reach a total volume of about 3.2 liters, add the sliced orange, lime, and lemon, and stir softly to distribute without breaking down the fruit.
Refrigerate for at least 1 hour for a clean, balanced citrus profile; for a brighter and more expressive citrus character, infuse up to 4 hours, but stop there — extended time pulls bitterness from the citrus solids.
Serve well chilled, straight from the pitcher or over ice if preferred.