When the quota storage limit exceeds 90%, a warning will be shown. That is why you are seeing the warning.
You will have 2 directions, the first one is to reduce your mailbox storage, the second one is to expand your archive mailbox if you want to keep everything.
For the first direction:
Delete Oversized Emails and Attachments
Create a Search Folder in the folder pane> choose the "Large Mail" option under Organizing Mail > Select "mail at least this large" and specify the desired mail size> Press OK to complete the process.
A new folder will be created which contains mails larger than the specified size. You can delete the emails inside it.
Permanently delete Deleted Items (not recommended)
For the second direction, this will need IT admin to perform this action:
Please follow the steps here to Connect to Exchange Online PowerShell, then sign in with Admin account.
Connect-ExchangeOnline
Note: A user's mailbox must already be enabled for archive before you can enable auto-expanding archiving. Run this cmd if the mailbox is not yet enabled for archive.
Enable-Mailbox -Identity ******@contoso.com -Archive
Enable-Mailbox ******@contoso.com -AutoExpandingArchive
When auto-expanding archiving is turned on, additional storage space is automatically added to the user's archive mailbox until it reaches the storage limit of 1.5 TB. (only apply for E3 / E5 or Exchange Online Plan 2)
Ref: Enable auto-expanding archiving | Microsoft Learn
Please try and let me know if you are stuck at any step.
If the answer is helpful, please click "Accept Answer" and kindly upvote it. If you have extra questions about this answer, please click "Comment".
Note: Please follow the steps in our documentation to enable e-mail notifications if you want to receive the related email notification for this thread.