Cannot receive Xbox party invites or game invites

That solved my party invite issue but my game invites aren't sending.

Looks like you have the right NAT type, have you tried inviting to the party and also the game that usually works.

Clean the cache console and make Power Cycle. Perhaps it will. If not, there may be some Xbox Live problem at that time. This needs to be checked before you write for advice.

Remove your profile from your console and log back in

Hello there @JohnManford, I hope everything is going well!
Thank you for reaching Microsoft Xbox Forum support. I want you not to worry about the situation because I am here to help you out! I believe your console might need either a network reset or just a system refresh. I would like you to go through the following steps to clear the Mac address and then perform a quick power cycle on your console:

Settings > Network Settings > Advanced Settings > Alternate Mac Address > Clear it and the console should restart. It would definitely help if you could restart the internet router while the console is restarting.

After going through the troubleshooting steps mentioned, I invite you to perform a quick power cycle by turning off the console and then unplugging all the cables. After 2 to 3 minutes, re-plug them back again, then restart your console.

Another thing you should check is your NAT type. I would like you to check your NAT type if open because that could sometimes interfere. to check for the NAT type you can follow the steps below:

Settings > Network Settings > NAT type => It should be open.

If the NAT type is not open, you will need to open some ports with your internet provider. These ports must be open for Xbox Live to work: Port 88 (UDP) Port 3074 (UDP and TCP) Port 53 (UDP and TCP) Port 80 (TCP) Port 500 (UDP) Port 3544 (UDP) Port 4500 (UDP).

In case the issue still persists after the previous steps have been performed here is the official link to all the network troubleshooting steps that can help sort this out for you.

The link: Troubleshoot your Xbox One network connection | Xbox Support

In case the issue still persists, the next step would be to perform a reset on the console. To do so you will need to follow the steps below to perform a reset on the Xbox :

Settings > System > Console Info > Reset This Xbox > Reset and Keep my Games and Apps.

Note =>The "Reset and Keep my Games and Apps" option will not cause losing your games, but please be aware that you need to be completely aware of the email address as well as the password of your account before going for it because it will require you to sign in to the account.I wish you a lovely day, and I hope this helps you out! All the best!

Kind Regards

Stay safe, and happy gaming!