Rehearsal mark an end of one system and another at the begin of next system

[Cynthia Karl]

Is there any way to modify the following snippet and get “Fine” at the end of the 1st system and “A” at the begin of the next system.  The “A” is discarded because it is deemed to be simultaneous with the “Fine”.

The chief reason for using a rehearsal mark for the “Fine”, of course, is to produce a score with only one “Fine” at the top of the system and yet produce parts that each have the “Fine”.  

\version "2.19.15"

\relative c'' {

    \override Score.RehearsalMark.self-alignment-X = #RIGHT

    \override Score.RehearsalMark #'break-visibility = #end-of-line-visible

    \repeat unfold 20 c4 \mark\markup { \bold \italic Fine }%<===== want Fine at end % of 1st system

    

    \break

    

    \override Score.RehearsalMark.self-alignment-X = #LEFT

    \override Score.RehearsalMark #'break-visibility = #begin-of-line-visible

    

    \mark\def \repeat unfold 20 c4%<===== want standard rehearsal mark at 

% begin of next system

    

    \override Score.RehearsalMark.self-alignment-X = #RIGHT

    \override Score.RehearsalMark #'break-visibility = #end-of-line-visible

    \mark\markup { \bold \italic "D.C. al Fine” }%<===== reason for Fine 

%at end of 1st system

}