No event invites in the iCloud calendar

I'm trying to migrate my custom domain email from Zoho to iCloud+ and everything went smoothly (in terms of mail) until I got stuck with the calendar. I don't get event invites (only notifications in the email) in the calendar macOS/iOS app at all for mynamemail@icloud.com, myaliasmail@icloud.com, mail@mydomain.com It feels like it should work out of the box, but it doesn't. I also found the same kind of questions (but not so many to suspect that everybody has it), but no answers: - Calendar invitations don’t appear in the Calendar Inbox - iCloud problem? (MacPowerUsers.com) - Custom email domain & calendar invitations (Reddit) I'm not sure a reboot helps because it's happening on both the phone and the laptop simultaneously. Extra note: I downloaded custom calendar, added iCloud CalDav there and it doesn't sync too. Feels like it's iCloud's issue