Adjust release process for new build artifacts naming scheme

Since #16154 (closed) was done, the release process needs an update. The branch shall be merged into stable so that the affected doc works fine during the 3.11 release process.

Feature Branch: doc/15999-adjust-release-process-to-new-filenames

Parent Task: #15999 (closed)

Original created by @intrigeri on 16164 (Redmine)