Cannot Install LDAP - Drupal 9.4.8

Tried the same, still no dice.

First, attempting to remove the authorization module seems to fail:

drupal/authorization is not required in your composer.json and has not been removed
./composer.json has been updated
Running composer update drupal/authorization
Loading composer repositories with package information
Package "drupal/authorization" listed for update is not locked.
Updating dependencies
Nothing to modify in lock file
Installing dependencies from lock file (including require-dev)
Nothing to install, update or remove
Package doctrine/reflection is abandoned, you should avoid using it. Use roave/better-reflection instead.
Package symfony/debug is abandoned, you should avoid using it. Use symfony/error-handler instead.
Generating autoload files
41 packages you are using are looking for funding.
Use the `composer fund` command to find out more!
No security vulnerability advisories found

And then installing the ldap module fails as well:

# composer require -W drupal/ldap:^4.0
./composer.json has been updated
Running composer update drupal/ldap --with-all-dependencies
Loading composer repositories with package information
Updating dependencies
Your requirements could not be resolved to an installable set of packages.

  Problem 1
    - Root composer.json requires drupal/ldap ^4.0 -> satisfiable by drupal/ldap[4.0.0, 4.1.0, 4.2.0, 4.3.0].
    - drupal/ldap[4.0.0, ..., 4.3.0] require drupal/authorization ^1.0 -> found drupal/authorization[dev-1.x, 1.0.0-beta1, ..., 1.x-dev (alias of dev-1.x)] but it does not match your minimum-stability.


Installation failed, reverting ./composer.json and ./composer.lock to their original content.

Here's a question. In your step 2 output, it says

  Problem 1
    - Root composer.json requires drupal/ldap ^4.3 -> satisfiable by drupal/ldap[4.3.0].
    - drupal/ldap 4.3.0 requires drupal/authorization ^1.0 -> found drupal/authorization[dev-1.x, 1.0.0-beta1, ..., 1.x-dev (alias of dev-1.x)] but it does not match your minimum-stability.

Did you try setting "minimum-stability": "dev", in between step 1 and 2 in your composer.json? You could try setting that, then deleting the composer.lock file and starting over with the requires.

Also, in the issue description, the output shows this:

  Problem 1
    - Root composer.json requires drupal/ldap ^4.0 -> satisfiable by drupal/ldap[4.0.0, 4.1.0, 4.2.0, 4.3.0].
    - drupal/ldap[4.0.0, ..., 4.3.0] require drupal/externalauth ^1.0 -> found drupal/externalauth[1.0.0, ..., 1.4.0] but the package is fixed to 2.0.3 (lock file version) by a partial update and that version does not match. Make sure you list it as an argument for the update command.

Did you try listing drupal/externalauth:^1.0 as an argument for the update command?