I don’t know what an ‘enquiries’ inbox is, neither I understand exactly what you’re trying to achieve, what actions you’ve done, what the expected results are. From what you write, I can guess you’re trying to do something with a domain you own (start a transfer maybe?) but the WHOIS record contains an email address you don’t control anymore? Is that it?
If that’s the case, DreamHost support cannot send authorization codes to another email address that is not in WHOIS record: can you imagine what would happen if we let firstname.lastname@example.org receive the auth code of any domain we host based on allegations of ‘inaccessible’ inbox?
Remember that this is not a support forum, those who give answer here are not always part of the award winning support team: it’s safer to assume that people here are just DreamHost users and enthusiasts, we all need context in order to be helpful. If you don’t feel ready to share more details in a public forum, please open a ticket (you don’t need to be signed in, if you’re locked out of your DreamHost account. Use “Other” from https://www.dreamhost.com/support/#support-form)