In the reset password process, there is no distinction between "activation in progress" and other errors
Currently there is only the option that a password reset was successful or that the activation is in progress. There is no such thing as failure due to the fact that an e-mail does not exist: https://git.thm.de/arsnova/frag.jetzt/-/blob/master/src/app/components/home/_dialogs/password-reset/password-reset.component.ts#L92
Right now, the backend cannot make this distinction either.
I would suggest that no reference should be made to this in the frontend either. In the case of a successful reset and in the case of an unknown e-mail, the following could be displayed: If an account exists for this e-mail, a message has been sent.