Dremel holder for parallel lathe

I needed to reduce the thickness of 2 hardened steel sprockets.
Having a small old parallel lathe and a 'fake' dremel, I thought of combining them to achieve the desired result.
And I designed a 'dremel holder' to be mounted with a 12 mm square lathe iron
The maximum diameter of the dremel body is 53 mm and is suitable for many such tools, as well as being easily modified by enlarging or reducing the diameter of the body housing.
The press must be fairly compact (40% filling) and especially with petg or similar because of the lubricants used on the tools.
https://www.youtube.com/shorts/AdLaSRqotug