MediaWiki 1.39.5 will never be compatible with PHP 8.2. I don’t know if MediaWiki 1.40 is compatible with PHP 8.2, I hope that it might be. But if it isn’t, then future versions MediaWiki will have to add support for PHP 8.2, because they also cannot keep using PHP 7.4 forever.
I also hope that Softaculous will update their catalog soon and add MediaWiki 1.40 to the list of supported versions.