In the breaking changes for 0.114 it says:
Due to the new 2FA endpoint, the YAML configuration is no longer supported.
In addition, due to some API changes, if you are upgrading from a previous version, you will need to navigate to the integration page at startup and re-configure Blink.
Your username and password will be imported, but you need to submit a 2FA token (emailed to you by Blink) in order to continue setting up the integration.
I deleted my Blink integration and then re-added it. Seems to have stopped all the emails now.
EDIT: Emails started up again after 24 hours 