In a food processor, combine tofu, coconut oil, water, agar powder, lemon juice, olive oil, salt, garlic powder, onion powder, basil, vinegar, and oregano. Process until smooth and well combined.

Transfer the mixture to a medium saucepan over medium heat. Bring to a gentle simmer, cooking and stirring frequently for about 2 minutes. The mixture will begin to thicken slightly.

Pour the hot mixture into a medium-sized glass bowl or mold. Let it sit at room temperature until completely cooled. Once cooled, transfer to the refrigerator until fully set and firm, at least 4 hours, or until fully set and firm enough to crumble or slice. For best texture, let it chill overnight.