Add tahini and lemon juice to the food processor and process for about 1 minute. Scrape down the sides of the bowl and process again for another minute. (This is going to make the tahini extra creamy.) Add aquafaba, olive oil, everything bagel seasoning, cayenne pepper, rosemary, and dried basil and process again for 1 minute. Scrape down the bowl. Add chickpeas and process for 2-3 minutes until completely smooth. (If you have any extra chunks of chickpeas, scape down the bowl and with the food processor on, slowly add some extra aquafaba or water and process again until completely smooth.)
1/4 cup + 2 tbsps., well-stirred tahini, 1 tbsp. fresh lemon juice, 1/4 cup (60 ml) aquafaba (chickpea water), 3 tbsps. olive oil, plus more to garnish, 1-1/2 tsps. Everything But the Bagel Seasoning, 1/4 tsp. cayenne pepper, 1/4 tsp. dried rosemary, 1/4 tsp. dried basil