When you use the restore wizard, step 1 gives you a drop down list of all the SQL Server instances you've registered with the application. If the server you wish to restore to is not on this list, you must first register it (File > Add SQL Server). Remember to change "Select from backup history" to "Browse for backups to restore" in step 1 or the wizard will only show backups from the selected test server.
Hope this helps,
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