I just measured mine. From the bottom most part of the lens to the slate is 65". The lens, body, and mount then take up an additional 7" to the ceiling. I have my lens set at about 13mm.
You would be a bit higher, which is much better. I'm guessing you might be around 16mm. The further you are, the better, because the picture will be less distorted. The 10-18mm "zoom lens" is pretty much an industry standard in all the brands. It's the most common lens used for home interiors. So I'd say that's still the lens to get. You "may" get lucky and a cheap webcam will be wide enough of a lens to capture the table. I'd try that route first actually, and return to Amazon if no good.
Here is a video I shot recently. The camera got knocked out of alignment slightly. That's actually a whole other thing. Getting the camera aligned overhead is very difficult. The typical ball mount adjustments for the camera mount are not good enough. Any slight misalignment shows up easily. One day I'm going to design and 3d print a mount that will allow me to center the camera accurately.
Finally I'll mention most streams don't have this exact overhead shot. You are not really missing much if you simply don't include it. It will save you a lot of aggravation also, IMO.
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