Database update of views module failed because of broken_link

Problem/Motivation

I have updated a site from Drupal core 9.3.3 to 9.3.12 (maybe a leap too big) via composer and ran /update.php

1 update failed even after repeating update.php:

views module

Add the identifier option to all sort handler configurations.

The database update failed with the following error message:

sort_identifier aktualisieren (update)

Fehlgeschlagen (failed): Symfony\Component\DependencyInjection\Exception\ServiceNotFoundException: You have requested a non-existent service "user.private_tempstore". in Symfony\Component\DependencyInjection\ContainerBuilder->getDefinition() (Zeile 1030 in /www/htdocs/[…]/vendor/symfony/dependency-injection/ContainerBuilder.php).

grep search returned results in contrib module broken_link.

contrib/broken_link/src/Form/BrokenLinkDeleteMultipleForm.php:
$container->get('user.private_tempstore'),
contrib/broken_link/src/Plugin/Action/DeleteBrokenLink.php:
$container->get('user.private_tempstore'),

After uninstalling broken_link update works fine.

Proposed resolution

This ist the followup issue of https://www.drupal.org/project/drupal/issues/3276607 →

Remaining tasks

API changes

Data model changes

Release notes snippet