So you don't trust the link I gave but trust wikipedia? Who do you trust?
I trust Wikipedia to mostly report the consensus of interested parties, backed up by citation, and to occasionally contain errors and deliberate misinformation. I don't trust it any further than that, and neither should you. Here I am just using it to find what RE scientists claim the deflection should be according to RE theory, not to prove that one model or another is correct (which should involve an experiment can be performed by me personally or someone I trust, so I don't have to worry about "the conspiracy").
Get some good equipment and this should be simple. Do multiple trials at different locations with different hardware, and you can eliminate error. If you do this like a real science lab (controls, lots of trials, etc) you can get pretty close to the correct answer.
You can't take an experiment that doesn't work and throw multiple trials at it to make it work. If my experiment isn't sensitive enough to detect the difference between the predictions of FE (no deflection due to gravity from large mountains) and RE (deflection due to gravity from large mountains), performing the same experiment many times is not going to help.
In this thread I was promised "conclusive evidence" that gravity varies based on location. We're now 5 pages into the thread, and still no such evidence has been forthcoming. Please tell me how to perform an experiment that is sufficiently sensitive to detect the difference between the two models, what equipment I will need to perform it, and how I can get that equipment without emptying my bank account (or perform the experiment yourself). Otherwise you should come up with some other evidence, or else stop claiming to have conclusive evidence when all you have is "I read it on the intertubes." Give me five minutes with Google, and I can find equally good evidence of working perpetual motion machines, and much
better evidence that homeopathy works.