Seriously, is this the depth on here ?!?
Removing what might, or might not be, 0.1mm from an aluminium part is not a trivial matter with a lathe. Initial concentricity would require very careful set up.
Final,concentricity required is not established.
It is not a simple case of holding the part in a 3 jaw chuck.
Clearly, from your comments, you are not exactly helping yourself in getting this done accurately and (presumably?) cheaply.
I am with the suggestion that you do it yourself by lapping. An alternative would be a suggestion that you take it to an engineering company and ask them for a quote.
Bye.