um how can i fix a E102 error without a usb stick?

Hello, Robert. I’m Arturo, and I’ll be glad to provide some assistance with your inquiry today.

Would I know if you tried to restore your console by using the Xbox Startup Troubleshooter?

Warning: Resetting your console to its factory defaults erases all accounts, saved games, settings, and home Xbox associations. Anything not synchronized with the Xbox network will be lost. You should only use this option as a last resort.

To bring up the Xbox Startup Troubleshooter, follow these steps:

Power off your console, and then unplug the power cord to ensure that the console is completely powered off.
Wait 30 seconds, and then plug the power cord back in.

Press and hold the Pair button and the Eject button on the console, and then press the Xbox button on the console.

Note: The Xbox Series S and the Xbox One S All-Digital Edition do not have Eject buttons. You can bring up the Xbox Startup Troubleshooter on this console by holding only the Pair button and then pressing the Xbox button.

Continue holding the Pair button and Eject button for 10–15 seconds.
Listen for two “power-up” tones a couple of seconds apart. You can release the Pair button and Eject button after the second power-up tone.

The console should power up and take you directly to the Xbox Startup Troubleshooter.

To restore your console from the Xbox Startup Troubleshooter, select Reset this Xbox. When prompted, select Remove everything. This will delete all user data, and all games and apps.
If you’re returned to the Home screen after the console restores and restarts, your console should function correctly now.

Note: If the console restore is successful, you will be prompted to repeat some general console setup steps before you’re returned to the Home screen. You will also need to re-download your games and apps.

Reference link: https://support.xbox.com/en-US/help/errors/error-code-e102

In case the Xbox startup troubleshooter doesn’t work, it is highly recommended to get a USB stick when you’re able to do it in order to perform the offline update.

If you wish to try the OSU recovery, you'll need to go get a USB stick

Since you say the console mentions corrupt game installations:

The E102 Error hints at an issue with the internal hard drive.

You can try to follow the E102 troubleshooting steps here: https://beta.support.xbox.com/help/errors/error-code-e102 and try to re-install the system
using an USB stick.

But if those don't correct the problem, you need to send in your console for repair via
https://devicesupport.microsoft.com

This might hint at an corrupted system installation.

Please
follow the instructions on this page here and click on the E102 Tile. This will explain on how to reinstall the system from an USB rescue stick.

Hey updating your console with a usb stick should fix e101 and e102 if this hasn't worked your hasn't worked your have to contact Microsoft
https://support.xbox.com/ to send your xbox in for service