HMMT November 2024 E2

Let $R A N D O M$ be a regular hexagon with side length 1 . Points $I$ and $T$ lie on segments $\overline{R A}$ and $\overline{D O}$, respectively, such that $M I=M T$ and $\angle T M I=90^{\circ}$. Compute the area of triangle $M I T$.