My advice is to take your micro mesh pads, carefully stack them all together neatly, making sure they are all perfectly aligned, and then drop them into the nearest bin

. Or alternatively, a more fun approach is to propel them one-by-one like little frisbees (put the bin as far away as you can to make it more interesting).
I’m joking of course, and I know lots of people swear by them, so take what I’m saying with a pinch of salt. They are just not my preference.
One of the difficulties I found with using them is, because you are wet sanding, it’s hard to see any scratches because water/liquid really isn’t your friend when trying to examine your work. It makes everything look perfect. You have to dry it to really see what’s going on. So it’s quite a faff and takes way too long for my liking. (Probably poor technique on my behalf of course).
Instead I find what works best for me, and I would encourage you to look into, is getting yourself some buffing mops and compounds. The three wheel system that is readily available is excellent, and you can hook it up on your lathe easily.
Wet sand your acrylic to up to 800 grit while it’s spinning, and then lengthways with the lathe stopped with the 800 grit too (there is really no need to do it for the lower grits, it’s a waste of time with plastic). Then onto the mops. The first grit you get with 3-stage polishing compounds easily buffs out 800 grit scratches. Then onto the next two wheels. No more than about 3-5 minutes and it’s done.
The best thing about this is you’re holding the workpiece in your hand, and it’s dry, so you can move it around freely, examine it and see your progress and any scratches very easily. Personally I think it’s a lot easier and your finish, even under magnification, will be perfect. (Yes I inspect to that level too).
Cheers
Ash