[shka]

MySQL Version >=8.0.3?

system is a reserved word, so you have to use it only with backticks.

So first you could change line 14 of product-gamesystemcheck.xml

			<installcode><![CDATA[$vbulletin->db->hide_errors();
$vbulletin->db->query_write("ALTER TABLE " . TABLE_PREFIX . "games_list add `system` tinyint(1) DEFAULT '0' NOT NULL");
$vbulletin->db->show_errors();]]></installcode>

and reinstall.