Acronis Cyber Backup 12.5: During local agent update to build 16342 connection to Management Server fails with "Failed to connect to machine. HTTP status code: 500"

Symptoms

1. You have installed Management Server of build 16342 or updated the existing Management Server to this build.
2. You launch the installation file of Build 16342 on a machine to install or update Agent locally.
3. You specify the IP address or name of the Acronis Management Server where the agent should be registered. Connection fails with the following error:

Failed to connect to machine. HTTP status code: 500" error.