The other way how to bring the recorder back docked is to manually adjust its config file.
Please navigate to C:\Users\[user]\AppData\Roaming\ArtOfTest and open RecorderWindowSettings.xml in Notepad. Change <IsDocked>true</IsDocked> attribute to true.
Next time when you start Test Studio the recorder should be docked to the browser.
Hope that helps and thank you for your feedback.