Problem 23 (2022 AMC 8)

A $\triangle$ or $\bigcirc$ is placed in each of the nine squares in a $3$-by-$3$ grid. Shown below is a sample configuration with three $\triangle$'s in a line. How many configurations will have three $\triangle$'s in a line and three $\bigcirc$'s in a line? [See figure in original PDF]