AMC 10A 2021 Spring Problem 13

What is the volume of tetrahedron A B C D with edge lengths A B=2, A C=3, A D=4, B C=\sqrt{13}, B D=2 \sqrt{5}, and C D=5 ?

Answer Choices
A. 3
B. 2 \sqrt{3}
C. 4
D. 3 \sqrt{3}
E. 6