Sounds like you came out of the water on a railway but even with slings there are sometimes problems. Typical is they pick it up just before lunch, then launch right after. In the mean time to put some paint on the areas where the blocks were. That leaves minimal time for the paint to dry. Not optimum.
What I have done, is place new blocks near the normal one, then lift
that corner with a small hydraulic jack. Clean and paint one spot. Then lower back onto the original blocks and move to another corner.
Of course, I am doing my own bottom and am usually in the yard for several days taking care of a list of maintenance
Some super wide cats have a hard time finding a lift
that can take their beam, but at 39' you should be able to find a yard and not have to use a railway.
All of this from a Yank that has no idea what services are available in your area.