Hi Jake Gosling1,
Thank you for reaching out! We understand the inconvenience this may cause, and we appreciate your patience while we provide clarification on this issue.
At this time, Microsoft Teams cannot be integrated in New Outlook, as Teams beyond its built-in functionalities. Microsoft is continuously working on enhancements and feature rollouts, but as of now, the ability to manually integrate Teams is not available in the New Outlook.
Since you have raised concerns, I would love to understand your specific needs. If you are facing difficulties installing the add-in or accessing its features, you can tell me, and I can provide additional troubleshooting steps and alternative solutions for you.
Please let me know if you need any other assistance and I will be more than happy to help further.
Thank you very much for your valuable time and your cooperation.
Best regards,
Doris V - MSFT | Microsoft Community Support Specialist