Gorgeous bike! +1 to jets. I drop them every couple of years. Usually one of the idle (slow speed] jets is plugged. They are so tiny. If you can’t see through it, soak in carb cleaner and blow out with air. Resist pushing a wire or anything else through, it will scratch and destroy the shape. Same on the mains, the jet is large enough to stay clear, but often one or two of the small holes in the emulsion tube plug up. This all leads to poor starting. Once you’ve done it a few times, it only takes 20-30 minutes. Removing the bottom half of the airbox makes access easier. The towel suggestion is brilliant.
I pull all the float bowls off first. Take the floats off the outside carbs and then do the same to the inside. Clean the inside carb jets and put them back together 100%, including floats and bowls. Now complete the outside carbs. Dropping the outside floats makes it easier to see what you are doing on the inside carbs. Space is tight.
Last thing: when pushing out the float pins, be very gentle. It’s easy to break off a post! Don’t ask how I know…….