Pour 150 ml of hot water over the green tea bags or loose leaf tea and let steep for 5 minutes. Strain and let cool completely.
In a medium saucepan, heat the milk and heavy cream over medium heat until it reaches a simmer. Do not let it boil!
Stir the cooled green tea into the warm milk and cream mixture.
In a separate bowl, whisk the egg yolks and sugar together until light and creamy.
Gradually whisk a small amount of the warm milk mixture into the egg yolk mixture to temper the eggs and prevent them from curdling.
Pour the entire mixture back into the saucepan and cook over low heat, stirring constantly, until it thickens slightly and coats the back of a spoon.
Remove from heat and stir in the lemon juice, lemon zest, vanilla extract, and a pinch of salt. Let cool completely.
Pour the mixture into an ice cream maker and churn according to the manufacturer's instructions.
If you don't have an ice cream maker, pour the mixture into a shallow dish and place it in the freezer. Every 30 minutes, stir it with a fork to break up ice crystals. Repeat this for 3-4 hours.
Before serving, let it sit at room temperature for a few minutes to soften slightly.
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