Complete Beginner Here. Need Help

Hey everyone, complete SEO beginner here so bear with me. I recently launched a philosophy AI platform called Socratic AI. I have been trying to learn SEO from scratch while building this and honestly have no idea what I am doing half the time. Here is the weird thing. I rank at the top for "Socratic AI philosophy" but when I search "Socratic AI" I cannot find my site anywhere. The keyword literally has my brand name in it and I am nowhere.