When you have an email account and want to be able to check messages from multiple devices, the account should be set up as an IMAP account, which is the default these days. Then multiple devices and or accounts can access the emails, and everything is tracked properly. Once read from ANY device, a new email will be marked as read by EVERY device.
What you are asking for is perfectly ordinary, just a few more Readers than typical.
I do not know why the directions posted online are ALWAYS fossils, from a previous geological era.
what is the Service Provider?