cmd/*env-sync: use *ENV_ROOT

Fixes https://github.com/Homebrew/brew/issues/16428

Library/Homebrew/cmd/nodenv-sync.rb

@@ -23,14 +23,14 @@ module Homebrew
 
   sig { void }
   def nodenv_sync
-    dot_nodenv = Pathname(Dir.home)/".nodenv"
+    nodenv_root = Pathname(ENV.fetch("HOMEBREW_NODENV_ROOT", Pathname(Dir.home)/".nodenv"))
 
     # Don't run multiple times at once.
-    nodenv_sync_running = dot_nodenv/".nodenv_sync_running"
+    nodenv_sync_running = nodenv_root/".nodenv_sync_running"
     return if nodenv_sync_running.exist?
 
     begin
-      nodenv_versions = dot_nodenv/"versions"
+      nodenv_versions = nodenv_root/"versions"
       nodenv_versions.mkpath
       FileUtils.touch nodenv_sync_running
 

Library/Homebrew/cmd/pyenv-sync.rb

@@ -23,14 +23,14 @@ module Homebrew
 
   sig { void }
   def pyenv_sync
-    dot_pyenv = Pathname(Dir.home)/".pyenv"
+    pyenv_root = Pathname(ENV.fetch("HOMEBREW_PYENV_ROOT", Pathname(Dir.home)/".pyenv"))
 
     # Don't run multiple times at once.
-    pyenv_sync_running = dot_pyenv/".pyenv_sync_running"
+    pyenv_sync_running = pyenv_root/".pyenv_sync_running"
     return if pyenv_sync_running.exist?
 
     begin
-      pyenv_versions = dot_pyenv/"versions"
+      pyenv_versions = pyenv_root/"versions"
       pyenv_versions.mkpath
       FileUtils.touch pyenv_sync_running
 

Library/Homebrew/cmd/rbenv-sync.rb

@@ -23,14 +23,14 @@ module Homebrew
 
   sig { void }
   def rbenv_sync
-    dot_rbenv = Pathname(Dir.home)/".rbenv"
+    rbenv_root = Pathname(ENV.fetch("HOMEBREW_RBENV_ROOT", Pathname(Dir.home)/".rbenv"))
 
     # Don't run multiple times at once.
-    rbenv_sync_running = dot_rbenv/".rbenv_sync_running"
+    rbenv_sync_running = rbenv_root/".rbenv_sync_running"
     return if rbenv_sync_running.exist?
 
     begin
-      rbenv_versions = dot_rbenv/"versions"
+      rbenv_versions = rbenv_root/"versions"
       rbenv_versions.mkpath
       FileUtils.touch rbenv_sync_running
 

bin/brew

@@ -154,7 +154,10 @@ USED_BY_HOMEBREW_VARS=(
   CODESPACES
   COLORTERM
   DBUS_SESSION_BUS_ADDRESS
+  NODENV_ROOT
   PATH
+  PYENV_ROOT
+  RBENV_ROOT
   SSH_TTY
   SUDO_USER
   TMUX