Brothy Garlic Soup with Slow-Roasted Tomatoes and Poached Eggs

Avocado, medium firm ripe

Cherry or grape tomatoes, whole

Italian parsley or cilantro, fresh leaves

Jalapeno chile charred, medium

Lime, medium

Eggs, large

Vegetable broth, low-sodium

Garlic head cloves, medium

Kosher salt and freshly ground black pepper

Olive oil divided plus more, extra-virgin

Bread, Toasted

Feta or cotija cheese