It's not even that sophisticated, it's incredibly obvious. Whenever a new movie is released, first you see the actors pop up for seemingly unrelated reasons like "so and so says their first date at such and such two decades ago was something something." That's to put them in the front of your mind, maybe get you to google them and see what they're up to - oh a new movie! The press tour begins. They start showing up on talk shows and mid-page CNN headlines. You're watching your usual YouTube videos and all of a sudden an interview with the actor and a talk show host is at the top of the recommended videos to watch next. You go to Reddit and see references to the theme of the movie on the frontpage. The movie trends on Twitter. Oh it must be at the forefront of public consciousness! The tipping point has been reached and now the marketing teams begin the full assault on your attention with pre-constructed memes ("barbenheimer") and narrative engineering about the movie ("<identifiable group> has <reaction> to <meme>"), the actors ("rumors swirl about <male co-star> and <female co-star>") and the box office performance ("do ticket sales for <movie> indicate a resurgence of <theme> cinema?"). This lasts for a few weeks, then it dies down, then the movie leaves theaters, and you don't hear about it again until it's released on Netflix and you get hit with a smaller-scale version of the same psychological warfare.
Recently it seems like some studio executives have realized they can get more bang for their buck by combining the marketing campaigns of two movies.