[11.x] Make DB::usingConnection() respect read/write type (#50806)

* Resolving default connection name before parsing it

* formatting

---------

Co-authored-by: Taylor Otwell <taylor@laravel.com>

src/Illuminate/Database/DatabaseManager.php

@@ -81,9 +81,9 @@ public function __construct($app, ConnectionFactory $factory)
      */
     public function connection($name = null)
     {
-        [$database, $type] = $this->parseConnectionName($name);
+        $name = $name ?: $this->getDefaultConnection();
 
-        $name = $name ?: $database;
+        [$database, $type] = $this->parseConnectionName($name);
 
         // If we haven't created this connection, we'll create it based on the config
         // provided in the application. Once we've created the connections we will