Re: Can’t receive anything through my email
If the email is from a third-party provider (eg: Yahoo or GMail etc) you can likely just log-in to your account on the email providers website, to open the email and get the code.
While logged in you may be able to authorise Apple Mail to receive your emails on your device or computer ?
If you lost access because your iCloud storage is just full,:
you may be able to still use the free 5 GB ?
See how to: Manage your iCloud storage on your Apple device - Apple Support
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Re: was wondering if i can purchase storage so that i can receive the email and then remove it.
Sorry I don't know.. You may want to contact iCloud support for advice: (There is a "Get Support" link (online chat, phone, eMail etc) at the bottom of their website (link below):
iCloud - Official Apple Support