I'm not familiar with Mac Studio. It is basically a Mac computer, correct?
If you open Finder on the Mac......does the Time Capsule appear under the Locations heading on the left panel of the window?
If yes.....hold down the option key on the Mac while you click on the Time Machine "clock" icon at the top of the screen. Select Verify Backups and run the process.
The check will take anywhere from 10-60 minutes or more depending on how much data is stored in the backup file. Let the process run until it completes or until you see an error message. You will be notified on screen when the check is complete. If an error message appears, please post back with the exact text of the message.
If the Time Capsule does not appear under Locations when you check using the Finder on the Mac, click on the Time Machine "clock" icon at the top of the screen and make sure that the Time Capsule is selected as the current destination for Time Machine backups.