doordash is regularly audited for PCI, they almost certainly store raw CC#s and follow modern tokenization standards. The best the agent would see is the name you stored for the card if you have multiple cards it can pick from in the account.

You can pull the PCI compliance documentation from their trust center if you are a partner https://trust.doordash.com/

For addresses, it's a almost certain the agent would see those since those are visible in the UI when ordering and required for selecting a destination for the order