

This seems like a management/organizational issue, and so that means it needs to be handled by your manager, who would then figure out how to approach their counterparts on the other team. You would provide as detailed of info as you can to your manager, and leave it with them to best deal with that matter. If your manager needs concrete examples of how company time/effort is being wasted by the other team’s shenanigans, help them help you.
If you’re in engineering, your focus is to build stuff and make it work. And your manager’s focus is to maintain the prerequisites for you to do your job. This does necessarily mean that in the interim, while management works on a resolution, you may still be asked to fix some of their mess. And you should do so, in a professional manner, to the best degree that you can stomach. Obv, if management drags the issue out, then you’ll have to weigh your options, since it would demonstrate a management chain that isn’t doing their own job properly. And that’s no environment conducive to success on your part.
If the goal is to convince other people to think you’re a bank robber, but without actually having to rob a bank, I think it could be done with much less effort and likely more effective. But this then gets into the ethical line between little white lies and outright deception or misinformation.
Because one way to achieve that goal is to doctor a bunch of evidence that would “incriminate” yourself, such as AI-generated video, then disseminate that to local reporter s, while also plastering it on social media using astroturf accounts, and might as well stuff a copy into a manila envelope and mail to the local District Attorney.
And all of that is probably legal in most jurisdictions in the USA, with the probable sole exception of intentionally wasting the prosecutor’s office’s effort, since they had not solicited such evidence. Compare this to “tip lines”, which expressly seek info and they are fully cognizant that not all the tips will be good.