Export a PST for User Mailbox from Microsoft Exchange Admin
Exporting PST from the Admin center, will keep the data back up for mailboxes, and also you can add the PST as a data file on Outlook desktop application to view the old emails.

In this article, we will demonstrate the process of creating a mailbox PST from the Exchange admin center for Microsoft 365.
Permission Set:
You need to set the permission for the Administrator who is exporting the Mailbox as PST.
To do this, Go to Exchange Admin-> Permissions.
Two roles need to be assigned to the Admin account “Discovery Management permission” and “Import-export permission”.
In Discovery Management, you will find two sections.
“Roles” and “ Member”.
Create roles of Mailbox Export-Import and Mailbox search under the Role section.
Add your admin ID in the Member section.
Go for Import & Export permission now.
Open it and add the Import export role under the Role section.
Add the admin ID in the Member section.
Ediscovery Management:
Wait for 24 hours to get the ediscovery options activated.
There will be 8 options showing instead of 4.
Click on the + button to create a new search.
Give a name to your search.
Click on the Specify Mailbox to search.
Click on the + button.
Add the user.
Click next.
“All Content” Should be selected.
In the next window click on Finish.
You will see that your query has been saved now.
Click on the download button.
Open the file.
Now you will find the Ediscovery PST tool which asks you to specify the location where you want to save the PST.
Browse the Location and start the process.
Your PST for the user mailbox will download in the mentioned folder.