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I need to know if there is a possibility to get info automatically when a card is added as a payment method.
You can track the information when a card is submitted as a payment method, by listening to Webhooks
With webhooks, you can set up a notification set up where you listen to card_added / payment_source_added events from Chargebee. Here's more on the event list from Chargebee.
More on webhooks settings is here. This should be done by your Engineering team on your end and once done, you shall be notified once a card is submitted as a payment method.
Related articles and Documentation
Payment method-related notifications in the Chargebee notification setting is disabled but still, we receive emails for BAID cancellation