Immigration and the Ministry of Foreign Affairs (who issue visas from consulates and embassies) are completely separate government departments. Absolutely no point in trying to get that to work.
You don’t extend a tourist visa entry at an airport. You do that at a local immigration office.
You’ll get stamped in for 60 days and then you can apply for an extension at an immigration office. Some allow you to do so with 45 days left on your stamp. Most 30 but some only allow 7 days. Without knowing what office you’d use we can’t advise.