to do this using one of the email services that are currently in Airtable automation (Outlook and Gmail), I would recommend use custom webhooks like following:
1. Create one webhook per button
2. Add an emoji or text with hyperlink per case (like/no like) where for every option you will add the url of the webhook including the record id and the response id in extension
3. Create an automation that will trigger when the webhook is received in airtable and then you will update the record using the incoming record id form the trigger and with the response.
Alternatively you can use email services that include this tracking information and by using API you can update the Airtable base.
Hope this work for you. For any kind of question please feel free to text in Airtable community.