Restarting OCaml LSP caused Internal error: attempting to write to a closed channel

Internal error, please report upstream including the contents of _build/log.
Description:
  ("attempting to write to a closed channel",
  { sexp =
      [ [ [ "id"; [ [ "poll"; [ "auto"; "0" ] ]; [ "i"; "0" ] ] ]
        ; [ "result"
          ; [ "ok"
            ; [ "Some"
              ; [ "in_progress"
                ; [ [ "complete"; "0" ]; [ "remaining"; "0" ] ]
                ]
              ]
            ]
          ]
        ]
      ]
  })
Raised at Stdune__Code_error.raise in file
  "otherlibs/stdune/src/code_error.ml", line 11, characters 30-62
Called from Fiber__Scheduler.exec in file "otherlibs/fiber/src/scheduler.ml",
  line 73, characters 8-11

I must not crash.  Uncertainty is the mind-killer. Exceptions are the
little-death that brings total obliteration.  I will fully express my cases. 
Execution will pass over me and through me.  And when it has gone past, I
will unwind the stack along its path.  Where the cases are handled there will
be nothing.  Only I will remain.
Success, waiting for filesystem changes...

Reproduction

1. Start VSCode with OCaml LSP, then dune in watch mode (-w)
2. Run VSCode command OCaml: Restart Language Server
3. Make some code change and save
4. Observe dune output

Reproduced with ahrefs/devkit. I don't recall seeing this before switching to dune 3.10.0, and I restart the LSP client all the time due to out-dated/stale state in the client.

Specifications

> dune --version                                                
3.10.0                                                                                                                                          
> ocamlc --version                                                       
4.14.0                                                                                                                                                                             
> lsb_release -a                                                     
No LSB modules are available.                                                                                                                   
Distributor ID: Debian                                                                                                                          
Description:    Debian GNU/Linux 11 (bullseye)                                                                                                  
Release:        11                                                                                                                              
Codename:       bullseye        

Reproduce the failure with VSCode, OCaml LSP, and dune 3.10.0 in watch mode using the listed restart and save steps. Start by reading otherlibs/fiber/src/scheduler.ml and otherlibs/stdune/src/code_error.ml around the reported stack frames. Done means restarting the language server and saving a change no longer causes dune to report an internal error or write to a closed channel.