what network ports to remain open for HomePod pairing and watchOS update?

What are the specific network ports that should be open on my internet connection broadband to enable the following:

1. ) Pairing of HomePod with iPhone.

2. ) Downloading and updating of watchOS.

I have already checked the following links, but they do not provide the details for the above mentioned port requirements:

https://support.apple.com/en-us/HT202068

https://support.apple.com/en-us/HT202944

The ports mentioned for Airplay and Homekit etc in these links are already open, yet I am unable to perform the activities mentioned. iPhone is already updating on the network, but watchOS is not updating on same network. Changing network completes both activities.
Please help.