Ref T8574. This could fail because the target is disabled (as here), or doesn't have access to the API, or the API request needs to be satisfied by a different host which isn't available.
In any of these cases, just show the failure and continue generating the mail. This field isn't important enough to block the mail, and many of these errors are permanent.
(I'll follow up on T8574 with some more permanent ideas to address this class of issue.)