In a very small cup, pour the boiling water over the tea bags, squishing them down to fully submerge the tea bags. Set this aside and let it steep until completely cool.
Bring a small saucepan of shallow water to a bubble (hot but not boiling). In the bowl of a stand mixer, mix the egg whites and sugar together with a hand whisk or spatula. Place this bowl on top of the saucepan, turn the heat to low, and mix often until the sugar dissolves. You’ll know it’s dissolved when you stick your fingers in, rub them together, and don’t feel any sugar granules. Remove from the saucepan, attach the bowl to the stand mixer, and whip on high using the whisk attachment.
Continue whipping until a very stiff meringue forms and the bottom of the mixing bowl feels room temperature. If it’s been whipping for over 10 minutes and the bowl still isn’t room temperature but the meringue is very stiff, stop mixing and place the bowl in the freezer for 6 minutes (6 minutes should be perfect even if the bowl is ever so slightly warm).
Chop the soft butter into small chunks (no larger than 1 tbsp). Squeeze the tea bags to get every last bit of flavor then carefully tear one of the tea bags open and add three generous pinches of the tea leaves into the brewed tea.
Once your meringue is cooled/room temperature, mix on medium speed adding one small chunk of butter at a time, mixing about 5 seconds in between each addition. It might deflate or get soupy at some point but that’s okay, just keep mixing until you’ve added all the butter and a frosting consistency forms.
Scrape the sides and bottom of the bowl. While mixing on medium-high speed, pour in the tea/tea leaf liquid and the vanilla seeds/extract and continue whipping until well mixed. Switch out the whisk attachment for the paddle and mix on high until smooth and silky (this just helps get rid of little air bubbles, but it's not necessary if you don't mind the bubbles when frosting).