You have to at least modify your sources.list.d manually first. For most people, updating sources.list.d and running full-upgrade will probably work fine...

The full instructions are

1. run dist-upgrade
2. remove back ports
3. remove obsolete packages
4. remove non-debian packages
5. clean up old configuration files
6. add non-free-firmware (this is a 12 -> 13 specific)
7. remove proposed updates
8. disable pinning
9. update sources.list.d to point to the next release
10. apt upgrade --without-new-packages
11. apt full-upgrade

It takes like an hour? but it's still not "just press okay."

Ubuntu's has broken on some upgrades for friends and they had to do the whole Debian process manually, but it does try to automate the removals, disablements, and updating sources

Edit: instructions taken from Trixie release. I skipped some that aren't really unique, like make a backup

https://www.debian.org/releases/trixie/release-notes/upgrading.en.html