That worked surprisingly well for surprisingly long, but the edges eventually came loose and, after far too long, I deployed the Tiny Sandblaster™:
The mottled matte effect isn’t quite what I expected, but it’s better-looking in person and we deemed it Good Enough™ for the purpose.
You saw the foot on the left in the previous effort:
The rounded plate directly under the needle sits far enough back to not reflect any of the LEDs toward her normal operating position, so we decided it didn’t need sandblasting.
She now has plenty of light where she needs it, with no glare from the metal bits.