Mark the sketch at which you want to cut.

In the context menu, select Cut (including dependencies).

Cut (including dependencies)

Mark the face where you want to insert the sketch.

In the context menu, select the command Insert previously cut sketch (Sketch ...).

Insert previously cut sketch (Sketch ...)

-> On the insertion plane, different coordinate systems are displayed.

Make a double click on the respective coordinate system.

Now the complete history below the sketch is moved to this new plane (or level).

Sketch moved