Removing the change clef in a first ending (volta 1)

[Knute Snortum]

I have been engraving more pieces that have volta repeats and it's proving
to be challenging.  I have a problem where I want to remove the change clef
in the first ending but not the subsequent staff clef in the second. The
staff starts in treble clef then moves to bass clef.  In the first ending
there is a change clef indicator showing that when you repeat, you are
treble clef again, but there is also a bass clef indicator because the
second ending is in bass clef.  But that doesn't make sense in the first
ending, where you are going back to treble clef.

It's probably easier to see in the MWE and screen shot I've attached.  So
is there a way to get rid of the bass change clef indicator in the first
ending?

All input is very much appreciated.

--
Knute Snortum

\version "2.24.3"

\relative {
  \repeat volta 2 {
    \repeat unfold 4 { c'4 c c c }
    \clef bass 
    \repeat unfold 3 { c,4 c c c } {}
    \alternative {
      \volta 1 {
        % I want to omit the change to bass clef here...
        c4 c \clef treble c' c \break
      }
      \volta 2 {
        % ...without omitting the staff bass clef here
        \clef bass c,4 c c c
      }
    }
  }
  \repeat unfold 8 { c4 c c c } \break
  \repeat unfold 8 { c4 c c c }
}