Stir cream and vanilla bean paste together in a medium saucepan. (If using a whole vanilla bean, scrape the beans into the saucepan and also put the vanilla pod in). Bring to a boil. Watch closely because it can easily boil over. Remove from heat and stir in the tea bags. Cover and let steep for 15 minutes.
Preheat oven to 325 degrees. Arrange 6 ramekins in a single layer in a 9x13 baking dish. Set up the water bath: fill the baking dish with hot water until it reaches about halfway up the sides of the ramekins. The water does not have to be boiling.
In a bowl, whisk egg yolks and 1/2 cup sugar together. Remove vanilla bean pod, if using, from the cream mixture and discard. Squeeze the tea bags into the cream mixture and discard.
Slowly pour the cream into the egg mixture, a little at a time, whisking constantly. Divide the custard mixture evenly among the ramekins. Bake 40-45 minutes, until crème brûlée is set but still jiggly.
When cool enough to handle, remove from the baking pan to cool on a wire rack. Cover and refrigerate several hours until set. Remove from the refrigerator and sprinkle evenly with the remaining 1/2 cup sugar. Use torch to burn the sugar topping until browned.