This actually shocked me in how it was of even lower quality than your previous post expressing a legal opinion–it may be one of the lowest quality posts ever posted on these forums talking about the law.

Dumb question, and I’m sure it’s been asked a thousand times, but what good does telling the jury to disregard something do? If anything, it backfires and further implants the notion in their head (Streisand Effect.) You can’t tell someone not to think something, any more than my telling you right now “Don’t think about a blue apple” will make you not visualize a blue apple. You may make the jury pretend to disregard it but it could still play a role in their decision making.
Our system puts a lot of faith in jurors, there is an actual expectation in the jury room you don’t use things you’ve been told not to consider to render your decision. I think you would be surprised by how often jurors appropriately exclude things they were told to exclude. Now, that being said our system also recognizes that things can’t truly be “unheard.” Extremely prejudicial things introduced at trial, over a judge’s objection, will sometimes result in a mistrial for this reason. The prosecutor was kind of skirting that line but he’s an experienced litigator and probably guessed it wouldn’t get thrown out, or gambled he might do better in the next trial if it did (hoping it wasn’t thrown out with prejudice.) I’m not 100% certain because I didn’t watch that portion, but I don’t think the jury has actually seen the video in question, it was just obliquely referenced by the prosecutor.

I’m confused about something. Before the trial, the Judge disallowed the video showing Rittenhouse saying he wanted an AK to shoot suspected looters. Later in the trial Rittenhouse says he got the AK just because it looked cool. When Binger tried to impeach this with the disallowed evidence, the Judge rebuked him. Now I get there is a proper way to do things but based on the new testimony shouldn’t the video evidence now be allowed?
There are generally limits on how much you can bring things that don’t directly relate to the charges the state has brought against the defendant into the court to use against the defendant. Sometimes when the defendant takes the stand, their testimony may open the door to evidence previously barred being admissible, to refuse something the defendant said on the stand. But it’s often a very “close” matter, and usually with a bit of subjectivity, those decisions actually are ones where the individual judge and their overall philosophy and manner of running a trial actually matter, so one judge might rule one way and another might rule another way.
This is all by the way, “part and parcel” of our common law adversarial legal system. While there are plenty of statutory codes, rules of judicial procedure etc that quite rigidly codify large portions of our judicial / criminal justice system, there is still a lot left up to the individual judge, the attorneys and the jury. Our trials are not algorithmic and do not produce the exact same result with the exact same inputs, because it is understood to be intrinsically valid that one judge might rule a different way than another and one jury might rule differently than another, as long as those rulings are within the bounds of some pretty liberal boundaries, that’s considered fine.
Nitpick and it’s minor to someone (I assume) isn’t much interested in guns–but AK refers to the “Kalashnikov family of rifles”, so called because they were designed by Russian general and gun designer Mikhail Kalashnikov. The first being the very famous AK-47 first mass produced in 1949, there have been many variants since then–the AK-74, AK-105 etc etc.
Rittenhouse had an AR-variant rifle, not an AK, and in the video he referenced his AR, not an AK (stop reading here if you don’t care about guns.). The AR family of rifles comes from the company name Armalite. The first major rifle in that family being the AR-10 released to the civilian market in the 1950s. It was revised in the late 1950s to the AR-15, which was then sold to Colt who took that design and produced the famous M-16 rifle for the U.S. military starting in the 1960s. The M-16 family of rifles was used by the military heavily for some 30 years, before it started being gradually phased out for some units with the carbine-variant M4, and by modern times the M4 is the predominant variant used by the U.S. Armed Forces in most circumstances. All of these guns now have a number of manufacturers and different configurations, many of which are legal for the civilian gun market–where they are almost invariably referred to as “AR” variants, although they have many different trade names and brand names different manufacturers will use. For many years only Colt models could use the letters “M4” in marketing and selling these guns, as it held a trademark on that, but the trademark was eventually ruled invalid and a court held that “M4” is a generic term for an AR-family carbine rifle, but before that “AR” was the most easily coined phrase that people would understand to encompass all of that family of rifles, and thus has more or less “stuck” in the gun lexicon.