Anthropic: You can't change your Claude account email address

I wonder how they'd handle this under the GDPR, which has an explicit "Right to rectification".

The data subject shall have the right to obtain from the controller without undue delay the rectification of inaccurate personal data concerning him or her.

Taking into account the purposes of the processing, the data subject shall have the right to have incomplete personal data completed, including by means of providing a supplementary statement.

https://gdpr-info.eu/art-16-gdpr/

Obviously if you change your email address, the old one ceases to be correct, even if it was correct before.