I would've even been happy if they didn't block you from screenshotting the QR export code. This has caused me so much pain over the years but nope, they refuse to change it.
This basically means you can never factory reset your phone without someone else using their phone to help you, which means you're forced to share your entire account and all your codes with a third party who might keep them forever.
You also can't preemptively back it up in case your phone is stolen or lost.
But nope, Google thinks they know best and in 2023 they still actively block you from keeping your accounts safe. It's mad.
You can go to a place that has self-service photocopiers and copy the QR code(s) from the export screen(s) to paper that way.
I just tested this using the copy function of my Brother printer/scanner, and my phone was able to successfully import from the printed export code.
I've only got 4 accounts in Google Authenticator (because I only have it because I wanted to help someone else once who was using it figure out something). The more accounts you have the denser the QR code will be, so it is possible that you might have to split the export into multiple passes with this method if you have a lot of accounts.
This basically means you can never factory reset your phone without someone else using their phone to help you, which means you're forced to share your entire account and all your codes with a third party who might keep them forever.
You also can't preemptively back it up in case your phone is stolen or lost.
But nope, Google thinks they know best and in 2023 they still actively block you from keeping your accounts safe. It's mad.