In order to enable Mautic API log in to your Mautic Account and press the Setting icon in the top right corner.
Then, choose Configuration from the list of settings in the flyout menu.
Finally, go to the API Settings tab and enable the API option. Besides, enable the HTTP basic auth options in case your API uses it (e.g. Magento 2 Mautic Integration extension)
Don't forget to press the Save&Close button.
Besides, it is recommended to clear the Mautic cache.
There are several ways to do that. The easiest is to go to the /var/cache folder and delete its content. If you want to do it via CLI command, navigate to the Mautic root folder and run the following:
rm -rf var/cache/*
The new cache files will be generated after Mautic is refreshed in the browser.