2020 AMC 12A Problem 24

Suppose that \triangle ABC is an equilateral triangle of side length s, with the property that there is a unique point P inside the triangle such that AP = 1, BP = \sqrt{3}, and CP = 2. What is s?

\textbf{(A) } 1 + \sqrt{2} \qquad \textbf{(B) } \sqrt{7} \qquad \textbf{(C) } \frac{8}{3} \qquad \textbf{(D) } \sqrt{5 + \sqrt{5}} \qquad \textbf{(E) } 2\sqrt{2}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.