For all locations of $\mathrm{m}$ the angular momentum of the mass $m$ about $O$ i.e., $L_{o}$ is $m r^{2} \omega$ and is directed toward $+z$ direction. The angular momentum of mass $m$ about $P$ i.e., $L_{p}$ is $m v l$ and is directed for the given location of $m$ as shown in the figure. For different location of $m$, the direction of $\vec{L}_{P}$ remains changing.