Three Dimensional Geometry: JEE Main 2024 Mathematics question

Let $O$ be the origin and the position vectors of $A$ and $B$ be $2 \hat{i}+2 \hat{j}+\hat{k}$ and $2 \hat{i}+4 \hat{j}+4 \hat{k}$ respectively. If the internal bisector of $\angle \mathrm{AOB}$ meets the line $\mathrm{AB}$ at $\mathrm{C}$, then the length of $O C$ is