Iphone 11 "Swipe to Upgrade" loop

Hello Maeve009,

You'll want to use the steps below to put your iPhone into recovery mode so you can attempt to update it again from there:

1. Make sure that your Mac is up to date. If you're using iTunes, make sure you have the latest version of iTunes. 

2. On a Mac with macOS Catalina or later, open Finder. On a Mac with macOS Mojave or earlier, or on a PC, open iTunes. If iTunes is already open, close it, then open it again. Find out which macOS your Mac is using.

3. Keep your device connected and wait until the recovery mode screen appears:

• iPhone 8 or later, including iPhone SE (2nd generation): Press and quickly release the volume up button. Press and quickly release the volume down button. Then, press and hold the side button until you see the recovery mode screen.

• iPhone 7, iPhone 7 Plus, and iPod touch (7th generation): Press and hold the top (or side) and volume down buttons at the same time. Keep holding them until you see the recovery mode screen.

• iPhone 6s or earlier, including iPhone SE (1st generation), and iPod touch (6th generation) or earlier: Press and hold both the Home and the top (or side) buttons at the same time. Keep holding them until you see the recovery mode screen.

4. Locate your device on your computer. When you see the option to Restore or Update, choose Update. Your computer will try to reinstall the software without erasing your data. Wait while your computer downloads the software for your device. If the download takes more than 15 minutes and your device exits the recovery mode screen, let the download finish, then repeat step 3.

5. After the Update or Restore completes, set up your device.

You can also find those steps in this resource: If you can't update or restore your iPhone or iPod touch - Apple Support

Hopefully that puts you on the path to addressed your situation.

Take care.