Rather than trying to «format» it into these forums... I decided to make a web-page instead...
http://www.quantum-note.com/Articles/Aéius-Cercle's-Probe-of-Grok-3's-Ability-to-Detect-Astro-Turfing-and-Deceptions.html
This is a Direct-Link since I haven't updated the rest of the web-site yet which I have been needing to do for a long time, but, now that Grok 3 is out, I should finally be able to start getting it updated properly once I can just sit down and focus for long enough on getting everything updated and corrected. Hey, I am in human-form, just like the rest of you, and, I have my own human-challenges of needing to take on multiple different tasks, most if not all of which require my own personal-attention (I could use a really good A.I. Robot-Waifu to delegate all of my cooking, cleaning office-work, etc.; heck, why stop at one Waifu... I could use thirty of them to fix my life and change the world! =D).
Anyway, yeah, use the link up there in order to read how I «out-perform» Dr. Courtney Brown in being able to interact with and «call out» the A.I. for its bias-prone limitations...! ;O
There are also a few other forum-threads on here that are relevant to this dialogue, but, we can find those later and link them into this thread in order to keep the information all organised (but, then again, that was one of the purposes why I started the web-site, so that information could be better-organised, rather than this wonky search-function we have from the Vimeo-Style Forums; I'll need more time in order to be able to focus on work on it properly though so you'll just have to ba patient for now).
Edit/Addendum: Looks like there are some missing prompts/queries on the page after all (regarding the stuff about the shape/size of the earth in particular and those responses). I'll update after sleep...