Heat the water to 75–80°C (167–176°F) — do not boil. Add the green tea bags and steep for 2–3 minutes maximum. Remove the tea bags without squeezing and let the tea cool to lukewarm.
While the tea is still warm, stir in 2 Tbsp honey until fully dissolved. Taste and add up to 1 additional tablespoon only if needed. Let the tea cool to room temperature.
Hull and slice strawberries if using. Leave raspberries and blueberries whole. Do not crush, muddle, or cook the berries.
Add the prepared berries to the cooled tea. Refrigerate and let infuse for 15–20 minutes only. Once aroma is present and the color lightly tinted, remove the berries to prevent muddiness.
Continue chilling the tea for 1–2 hours until fully cold.
Fill glasses with ice. Pour over the chilled berry green iced tea and garnish with fresh berries.