When the Analyst discusses his black cat with Neo in The Matrix Resurrections, does he actually slip up and give away a twist yet to come? Picking up 60 in-universe years after the Wachowskis' original Matrix trilogy (though only 20 for those plugged in), The Matrix Resurrections begins with Keanu Reeves' Neo once again assuming the guise of Thomas Anderson inside a Machine simulation, blissfully unaware of his true reality. Last time audiences saw Neo, he took Morpheus' red pill, became a legendary hero, and sacrificed himself to end a centuries-old war, so reuniting with the protagonist as an award-winning video game designer with the worst best friend of all time certainly sets alarm bells ringing.
Neo himself seems to agree something's off. "Thomas" is plagued by repressed memories of his true life (the events of the Matrix trilogy), and these manifest as alleged psychotic episodes. Thomas is being treated by a therapist who spends their sessions reaffirming these memories are nothing more than delusion. Played by Neil Patrick Harris, the shrink convinces Neo that everything he experienced 60 years ago was simply a plot he wrote for the "Matrix" game trilogy. Ultimately, however, The Matrix Resurrections reveals that not only was the therapist deceiving Neo, he's actually the Analyst - a replacement Architect who built the current simulation using Neo and Trinity as a template.
Curiously, the Analyst gives away his true intentions very early on in The Matrix Resurrections. Following his first encounter with Yahya Abdul-Mateen's Morpheus, Thomas Anderson finds his way back to the therapy room, where the Analyst once again gets to work. Maintaining his false narrative, the villain tells Neo, "It was your great ambition to make a game that was indistinguishable from reality. To achieve this goal, you converted elements of your life into narrative... Even your dislike of my cat made it into your Matrix." This moment marks the Analyst's first major misstep - Neo wasn't seeing the Analyst when he designed the "Matrix" video games.
According to his fictional backstory in The Matrix Resurrections, Thomas Anderson started therapy after almost taking his own (digital) life, and Neil Patrick Harris' antagonist confirms this by saying, "You came to me after trying to jump off a building." When The Matrix Resurrections shows this flashback, however, the event is a rooftop party celebrating the success of Thomas' "Matrix" video games. We see the award statuette, Jonathan Groff, model rabbits and colored pills - all to honor how well the trilogy was selling. That means Thomas already designed the game, and couldn't have possibly included the black cat of a therapist he hadn't met yet.
By making such a brazen contradiction, The Matrix Resurrections' Analyst gives himself away in this scene. Not only does the error confirm Thomas Anderson isn't "crazy" (which is still up for debate at that point), it also signals to viewers that the Analyst is way more important than he appears. The true Analyst only emerges when Neo attempts making contact with Trinity later in The Matrix Resurrections; before then, the shrink could've been a regular program similar to Thomas' best friend Jude. Getting caught up in his own web of lies proves the Analyst is a more advanced sentience - one that desperately needs Neo to stay placated inside the simulation.
It's a desperation that explains why the Analyst makes such a rookie error in The Matrix Resurrections. The "black cat" comment occurs immediately after Morpheus has narrowly failed extracting Neo from the Matrix. The human resistance of Io has finally located Neo, seen through his old man disguise code, and are actively trying to rescue him. The Analyst's entire world is on the cusp of crumbling, and he's rattled - so desperate to convince Neo the Matrix isn't real, he'd accidentally draw connections that make absolutely no sense... such as including a cat in a video game before he's even met the creature.