Yeah, but that's what I meant - if you use a horizontal arm, you can slide it back and forth over the table. Similar to this setup:
Check the video in the link to see what I mean:
https://www.google.com/amp/s/h5.aliexpress.com/item/33016272439.html
So you can slide it back and forth, move it up and down as a swing arm, rotate it. If you get one with a ball head, it would even offer additional movement angles if you need them. Should cover it all, no?
And here is one of them as an example:
http://slik.com/products/sliding-arm-ii/