Users: Fix Generate Password button requiring two clicks to update the password field on the Add New User screen.

The password was previously set before the AJAX response returned, resulting in the first click not updating the password field. This change moves the `generatePassword()` call inside the AJAX callback to ensure the password is always updated immediately.

Props taninahmed.
Fixes #63897.

Author: taninakond

src/js/_enqueues/admin/user-profile.js

@@ -255,16 +255,15 @@
 			$pass1.attr( 'disabled', false );
 			$pass2.attr( 'disabled', false );
 
-			// Set the password to the generated value.
-			generatePassword();
-
 			// Show generated password in plaintext by default.
 			resetToggle ( false );
 
 			// Generate the next password and cache.
 			wp.ajax.post( 'generate-password' )
 				.done( function( data ) {
 					$pass1.data( 'pw', data );
+					// Set the password to the generated value.
+					generatePassword();
 				} );
 		} );