The repos in https://packages.ebizmarts.com are private and you can't access if you don't have an user/pass (and you must pay for that)
As you know, mc-magento2 is a free extension and you can install it simply with composer (with no other unnecessary trick), and mc-magento2 is not in these repos!!
The problem here is, the version of mc-magento2 for magento 2.2.8 don't work in magento 2.3.3, so you must follow these steps
- Prior to update your magento, uninstall mc-magento2 (run composer remove mailchimp/mc-magento2)
- Once the extension is uninstalled, update your magento installation
- When you finished the update, simply run composer require mailchimp/mc-magento2:102.3.37 (for know what version you must install visit https://github.com/mailchimp/mc-magento2/releases and search for the version that fit your magento version)
That's all