If $Pr^L$ denotes the $\infty$-category of presentable $\infty$-categories and cocontinuous functors, $Cat^t$ denotes the $\infty$-category of $\infty$-categories possessing terminal objects and terminal object preserving functors, and let the subscript $\ast$ denote pointing categories by picking an object. Then I'd hope you have a commuting square of forgetful functors (the vertical ones point at the terminal object):
$$\begin{CD} Cat_ast @<<< Pr^L_\ast \\
@AAA @AAA \\ Cat^t @<<< Pr^L
\end{CD}$$