Airflow can't find main module after install

I just installed Python 3.10.11 on Suse SLES-15.4.
Python runs as expected:

~> python3 -c "import os, sys; print(os.path.dirname(sys.executable))"
/usr/bin
~> pip3 --version
pip 22.0.4 from /usr/lib/python3.10/site-packages/pip (python 3.10)

As I am not a fan of having an aplication installed in my personal home folder, so I defined the AIRFLOW_HOME to a directory which I created :

export AIRFLOW_HOME=/usr/lib/airflow

Then, as written in the quick start guide, I defined the following variables:

AIRFLOW_VERSION=2.6.1
PYTHON_VERSION="$(python3 --version | cut -d " " -f 2 | cut -d "." -f 1-2)"
CONSTRAINT_URL=https://raw.githubusercontent.com/apache/airflow/constraints-${AIRFLOW_VERSION}/constraints-${PYTHON_VERSION}.txt

and then proceeded with install:

pip3 install -t $AIRFLOW_HOME "apache-airflow==${AIRFLOW_VERSION}" --constraint "${CONSTRAINT_URL}"

I tried to configure the /etc/profile.d/python.sh to guess what could prevent Airflow from starting:

# add python startup script for interactive sessions
export PYTHONSTARTUP=/etc/pythonstart
export LC_ALL="fr_CH.UTF-8"
export AIRFLOW_HOME=/usr/lib/airflow
export PATH=/usr/lib:/usr/lib/airflow:/usr/lib/airflow/bin:$PATH
export LD_LIBRARY_PATH=/usr/lib/airflow:/usr/lib/airflow/bin/airflow:/usr/lib/python3.10:/usr/lib/python3.10/site-packages:$LD_LIBRARY_PATH

But still, when I try to run Airflow at first, I receive an error message:

~> airflow standalone
Traceback (most recent call last):
  File "/usr/lib/airflow/bin/airflow", line 5, in <module>
    from airflow.__main__ import main
ModuleNotFoundError: No module named 'airflow'

Do you have any suggestion to solve this?

The pip package is not getting installed in a place where it can be read.
To fix it you can add to the rest of exports in the file /etc/profile.d/python.sh:

# ...
export PYTHONPATH=$PYTHONPATH:$AIRFLOW_HOME

Or you can try to install airflow without the flag: -t $AIRFLOW_HOME since it will be installed in the default PYTHONPATH assigned with the rest of pip packages.