instrument name collision in grouped staves

[Eluze]

  when an empty staff is removed the instrument names of the remaining staff
groups and staffs can collapse in the same line 
<http://lilypond.1069038.n5.nabble.com/file/n155576/test14.png> 

\new StaffGroup \with {                                 % piano with 3
staffs
  instrumentName        = \markup \huge \with-color #blue "Piano with 3
staves"
  shortInstrumentName = \markup \huge \with-color #blue "Piano with 3
staves"
}
<<
  \new PianoStaff \with {             % piano staff 1+2 - keep alive
together
    instrumentName        = "Piano right+left hand"
    shortInstrumentName = "Piano right+left hand"
  }
  <<
    \new Staff { c'1 \break c'1}
    \new Staff { \clef bass d,1 d,1}
  >>
  \new Staff \with{                                               % 3rd
staff
    instrumentName        = \markup \with-color #red "Piano 3rd staff"
    shortInstrumentName = \markup \with-color #red "Piano 3rd staff"
    \RemoveEmptyStaves
    \override VerticalAxisGroup.remove-first = ##t
  }
  { R f }
>>

(how) can this be prevented?

Eluze



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