Cook 2 cups of edamame in their pods as directed on the package, usually about 10 minutes, and drain. Each individual edamame bean has a thin, transparent "skin" that you can leave on if you want your hummus to be "rustic" but we all know that "rustic" means you were lazy. Remove the skins. It takes a little bit of time and some dexterity, but what else are you going to do in front of the tv while watching Ozark for the 4th time?
In a food processor or blender, combine ¼ cup sesame paste and ¼ cup of lemon juice until fluffy.
Add 1 minced clove garlic, all of the cooked edamame, and 1 teaspoon sea salt. Pulse a few times until well combined, then process until the edamame are pureed. The mixture will be thick and may require stopping the machine several times to scrape down the sides of the bowl. This will take 2-3 minutes.
Add cold water including any pieces of actual ice by the tablespoon to the food processor as it is running until the hummus is smooth and the consistency you prefer. I usually end up using 3 tablespoons of cold water, resulting in hummus with the consistency of thick frosting.
Taste, add more lemon juice and/or salt if needed.
Scrape the Edamame Hummus to a bowl, cover the surface with plastic wrap, and let it rest for at least 30 minutes to allow the garlic and sesame flavors mellow out. If not using straightaway, refrigerate until needed.
Take Edamame Hummus out of the fridge at least 30 minutes before serving, drizzle with a few tablespoons of olive oil and garnish with toasted sesame seeds.