Scope BROWSER to interactive shells so xdg-settings can change the default browser (#6616)

Exporting BROWSER=omarchy-launch-browser into the whole uwsm session made
xdg-settings refuse "set default-web-browser", which broke every browser's
own "Set as default" button. The export only exists for terminal programs
(like gh) to open URLs detached from the terminal process tree, so move it
to default/bash/envs where interactive shells still pick it up.

Fixes #6590

Co-authored-by: Claude Fable 5 <noreply@anthropic.com>

default/bash/envs

@@ -1,6 +1,11 @@
 # Editor used by CLI
 export EDITOR="${EDITOR:-omarchy-launch-editor --inline}"
 export SUDO_EDITOR="$EDITOR"
+
+# Used by terminal programs (like gh) to open URLs detached from the terminal
+# process tree. Shell-scoped on purpose: exporting BROWSER session-wide makes
+# xdg-settings refuse to change the default browser.
+export BROWSER="${BROWSER:-omarchy-launch-browser}"
 export BAT_THEME=ansi
 
 # Color man pages with bat

default/uwsm/default

@@ -3,8 +3,9 @@
 # Install other terminals via Install > Terminal
 export TERMINAL=xdg-terminal-exec
 
-# Used by terminal programs (like gh) to open URLs detached from the terminal process tree
-export BROWSER=omarchy-launch-browser
+# BROWSER is intentionally not exported here: session-wide, it makes xdg-settings
+# refuse to change the default browser, which breaks the browsers' own "Set as
+# default" buttons. Interactive shells get BROWSER from default/bash/envs instead.
 
 # Used by terminal programs to open files with the selected Omarchy default editor
 export EDITOR="omarchy-launch-editor --inline"

default/uwsm/env.d/10-omarchy

@@ -9,7 +9,6 @@ if [ -f "${OMARCHY_PATH%/}/default/uwsm/default" ]; then
   . "${OMARCHY_PATH%/}/default/uwsm/default"
 else
   export TERMINAL=xdg-terminal-exec
-  export BROWSER=omarchy-launch-browser
   export EDITOR="omarchy-launch-editor --inline"
 fi