How to change main shell PWD in fzf subshell

[LinArcX]

I have this function in my .bashrc:

function open_dirs {
  export -f open_dirs
  row=""

  row=$(exa -1 -l --no-permissions --no-user --no-filesize --no-time --all $PWD | fzf --header="pwd: $(pwd)" --preview 'v {}' --bind='ctrl-b:execute:(pkill fzf; cd "$PWD/.."; open_dirs)')

  if [[ -n "$row" ]]; then
    if [ -d "$row" ]; then
      cd $row
      open_dirs
    elif [ -f "$row" ]; then
      open_files "$row"
    fi
  fi
}

when I call this function, I can use Ctrl-B to go back to the upper directory. but the problem is that when I press ESC to exit fzf and come back to the terminal, PWD didn't change.

Seems ctrl-b:execute: part just changes the directory in the subshell.

Any idea to solve this issue?