I use my account quite heavily to chat with my friends, and to send emails to school and such. I'm finding the daily message limit to be very restrictive and annoying, I do not want to add my phone number due to privacy concerns. Is there any way to extend or bypass the message limit?
Hello,

We have a private domain (mobuy.ro) with the e-mail server hosted by outlook.com. We have an account we use to communicate to clients, including automated messages such as "forgot password" and "email confirmation", among other things.

We can no longer use this e-mail address (contact@..) because your service restricts the use of our e-mail addresses on our own domain. This is the error message:
DeliveryError: Message delivery failed: 552 5.3.4 Requested action aborted; Our daily message limit was meant to stop spammers--we're sorry that it's getting in your way. You can wait a day to send your message.

Besides taking our service elsewhere (changing microsoft's outlook.com with a better provider), is there another solution for this problem?