We can see in this video clip from The Matrix that, when chased by the agents, Neo confuses right and and left:
When Neo asks the operator Tank to help him find a way to escape, Tank tells him to take the door on the left, clearly saying "on your left". Neo tries to open the door on the right, which prompts Tank to tell him "Your other left". Using that door, Neo manages to escape from the agents of the Matrix.
This scene always puzzled me. This scene does not seem to have any use and we know that the movie had a tight budget (using decors from Dark City). So any unnecessary scene was probably removed from the script. In addition, the Wachowskis are known to have written a very good scenario, where most, if not all, elements have a purpose and an intended symbol.
Out of universe, why is this scene in the movie?
Is it a blooper from Keanu Reaves that was not removed from the final cut (no time or money to reshoot the scene)? Or was it intended and means something about Neo? A way to increase tension during the chase scene?