Trouble lining up Fine mark

[David Feuer]

I want the right side of the Fine mark to line up with the double bar
line, so I did

... music ....
\override Score.RehearsalMark
  #'break-visibility = #begin-of-line-invisible
\once \override Score.RehearsalMark #'self-alignment-X = #right
\mark \markup {\large Fine}
\bar "||"
\key bf \major
... music ...

But the Fine ended up aligned to the key change signature.  What am I
doing wrong?  Also, does anyone have a good macro for doing Fine
marks?

David