This is the exact one I use: https://www.amazon.com/gp/product/B0B82KXD2W/ref=ppx_yo_dt_b_asin_title_o01_s00?ie=UTF8&psc=1. It's a bit cheaper. I also bought an amazon basic tripod. Never had any issues with this setup.

I use this one https://www.amazon.com/Microphone-Autofocus-Computer-Facebook-FaceTime/dp/B0B82KXD2W

Also I wouldn't put up with that level of scrutiny in the future. There is following rules and then there is being subject to personal preferences and whims of the gatekeeper. People here have just disconnected and rescheduled. Some of the proctors are inexperienced/incompetent so they try to over-emphasize rules to make up for it.