Heat the water to 90–95°C (195–203°F). Add the black tea bags and steep for 2½–3 minutes maximum. Remove the tea bags without squeezing and let the tea cool to lukewarm.
While the tea is still warm, stir in 2 tablespoons of honey until fully dissolved. Taste and add up to 1 additional tablespoon only if needed. Let the tea cool to room temperature.
Add the lavender buds (or fresh sprig) to the cooled tea. Refrigerate and let infuse for 5–7 minutes only, just until a soft floral aroma develops. Remove the lavender promptly — overinfusion turns soapy.
Add the lemon peel strips and let infuse for 5 minutes, then remove. Stir in 1 tablespoon lemon juice for light brightness, adding up to 1½ tablespoons only if needed. The drink should stay aromatic, not sharp.
Continue chilling the tea for 1–2 hours until fully cold and integrated.
Fill glasses with ice, pour over the chilled lavender lemon iced tea, and garnish with a fresh lavender sprig and a twist of lemon peel.