Using Mac studio with a MacBook as the monitor.

Mac notebooks do not have hardware video inputs.

You need to connect at least one real monitor (or HDTV set) to your Mac Studio. Once you have done that, if your MacBook Pro is new enough, you might be able to set it up as an AirPlay Receiver for AirPlay to Mac, and use it as a second screen. (The connection will not be as high-quality as one to a real hardware monitor.)

Continuity features and requirements on Apple devices - Apple Support

Set up your Mac to be an AirPlay Receiver - Apple Support

The MacBook Pro does not have any full motion Video inputs.

if all you want is to get a picture and possibly active controls on screen, you can enable Screen Sharing, and the the studio's display to show up in a window on the MacBook. But NOT full speed, full motion. But it is good enough for sound controls, but it will lag, depending on how fast is the network connection. Ethernet works pretty well for most stuff -- Wi-fi, it depends.

One other wonky item you may need is a 'null display' this small device plugs into the HDMI port and tells the Mac Studio it IS a display. but it actually has no outputs. That setup produces a screen buffer in the Mac for you to share over Screen Sharing.

Just take the MacBook into the closet and use that to record. maybe an external mic as well.