Charred Corn and Tomato Tartines with Tofu Aioli

Name: Charred Corn and Tomato Tartines with Tofu Aioli
Ingredients: 8 ounces silken tofu , patted dry; 1/3 cup plus 4 1/2 tablespoons olive oil , divided; 1 tablespoon plus 2 teaspoons fresh lemon juice , divided; 1 1/2 teaspoons kosher salt , divided; 3/4 teaspoon smoked paprika; 3/4 teaspoon grated garlic , plus 1 medium garlic clove, divided; 2 tablespoons finely chopped shallot; 2 teaspoons finely chopped seeded serrano chile (about 1 medium chile); 1/2 cup cherry tomatoes , quartered; 2 ears fresh yellow corn , husks removed; 3 ounces shishito peppers (about 9 large peppers), stems removed; 4 (1/2-inch-thick) rustic sourdough bread slices; Flaky sea salt , for garnish