refactor(uninstall): use shared get_lsregister_path from base.sh

Remove duplicate get_lsregister_path() implementation and use the
shared utility from base.sh instead.

lib/uninstall/batch.sh

@@ -11,22 +11,6 @@ SCRIPT_DIR="$(cd "$(dirname "${BASH_SOURCE[0]}")/../.." && pwd)"
 
 # Batch uninstall with a single confirmation.
 
-get_lsregister_path() {
-    local -a candidates=(
-        "/System/Library/Frameworks/CoreServices.framework/Frameworks/LaunchServices.framework/Support/lsregister"
-        "/System/Library/CoreServices/Frameworks/LaunchServices.framework/Support/lsregister"
-    )
-    local candidate=""
-    for candidate in "${candidates[@]}"; do
-        if [[ -x "$candidate" ]]; then
-            echo "$candidate"
-            return 0
-        fi
-    done
-    echo ""
-    return 0
-}
-
 # High-performance sensitive data detection (pure Bash, no subprocess)
 # Faster than grep for batch operations, especially when processing many apps
 has_sensitive_data() {