I can't connect to Adobe Servers after I installed MacOS Monterey

Dont know if this will help. I noticed that in the security and confidentiality (my system's in french so I suppose this what's it's called) under complete access to disk, com.adobe.acc.installer.v2 is unchecked. As I did a clean install I felt comfortable activatind it and voilà! Worked for me! Unless adobe tech advises otherwise, you should try. (Adobe tech, if I should have done this, let me know too!)

See Help article below:

Can't connect to Adobe's Server.

https://helpx.adobe.com/x-productkb/policy-pricing/activation-network-issues.html

other os 12 users are not reporting that, and it's not clear what link you are trying to use.  so:

install the cc desktop app from here, https://creativecloud.adobe.com/apps/all/desktop?action=install&source=apps&productId=creative-cloud

if you're unable to download the cc desktop app, use the link at the bottom of the page at https://helpx.adobe.com/download-install/kb/creative-cloud-desktop-app-download.html
use the desktop app to install your cc programs/trials