Install the App Control server as outlined in Tech Docs > Server > Server Installation Guide > Installing the Server with a Restored or Reconnected Database.
During the install be sure to choose:
Use Existing Database
The Certificates stored in the database or the ones backed up.
After App Control Server is installed on the new application server
Log in to the Console and confirm Agents are showing as Connected.
At this time the old App Control Server installation should be removed.