"Brunch is served...."
cherry tomatoes
(15-oz.) can white beans, drained and rinsed
shallot, cleaned and quartered lengthwise
dried oregano
halved Kalamata olives
plus 1 tablespoon extra-virgin olive oil, divided
Kosher salt
Freshly ground black pepper
Red pepper flakes
(8-oz.) block feta, drained
4 large eggs, at room temperature
Basil, torn, for garnish
Crusty bread or pita, for serving