Update based on @nwinkler's feedback

completion/available/github-cli.completion.bash

@@ -2,15 +2,9 @@
 cite "about-completion"
 about-completion "GitHub CLI completion"
 
-if command -v which gh >/dev/null 2>&1; then
-  if command -v which brew >/dev/null 2>&1; then
-    BREW_PREFIX=$(brew --prefix)
-
-    if [ -f "$BREW_PREFIX"/etc/bash_completion.d/gh.sh ]; then
-      . "$BREW_PREFIX"/etc/bash_completion.d/gh.sh
-    fi
-
-  else
-    eval "$(gh completion --shell=bash)"
+if _command_exists gh; then
+  if _command_exists brew; then
+    echo "You don't need github-cli completion enabled if you have system completion enabled"
   fi
+  eval "$(gh completion --shell=bash)"
 fi