Time Machine not connecting to Air Port time capsule (on a network) for over 1 month. I can see/connect to the time capsule via Airport utility. I checked for an update and restarted the time capsule but Time Machine still won't connect to back up.

Thanks for the info.

Try resetting the Time Machine backup destination. To do that......

Click on the Time Machine "clock" icon at the top of the Mac's screen

Click on Open Time Machine Settings

Click on the current backup disk......likely named "Data".....to highlight it

Click the - (minus) button at the bottom of the window

Click Forget Destination

Close the windows

Restart your Mac

Run through the sequence above to select "Data" as the Time Machine backup disk

Check in 30-60 minutes to see if a backup has begun.

Because it has been a month since the last backup, you may see "Preparing" a long time before the actual backup will begin. Let "Preparing" run until the backup begins or until you see an error message.

If an error message appears, please post back with the exact text of the message.

The settings for Time Machine are different with a newer operating system like Ventura. Can you please tell us what operating system is installed on your Mac so that we can provide the correct instructions?

Please run this command in Terminal: sudo log stream --predicate 'subsystem=="com.apple.TimeMachine"' --info

And post a log it generated here