pip install says "Can not find valid pkg-config name" since mysqliclient 2.2

[lsaffre]

Describe the bug

On Debian 11.6. mysqclient-2.1.1 was previously installed and still works fine.
I have done $ sudo apt-get install python3-dev default-libmysqlclient-dev build-essential
But upgrading to 2.2 fails as follows:

$ pip install -U mysqlclient
Requirement already satisfied: mysqlclient in ./env/lib/python3.9/site-packages (2.1.1)
Collecting mysqlclient
  Using cached mysqlclient-2.2.0.tar.gz (89 kB)
  Installing build dependencies ... done
  Getting requirements to build wheel ... error
  error: subprocess-exited-with-error

  × Getting requirements to build wheel did not run successfully.
  │ exit code: 1
  ╰─> [24 lines of output]
      /bin/sh: 1: pkg-config: not found
      /bin/sh: 1: pkg-config: not found
      Trying pkg-config --exists mysqlclient
      Command 'pkg-config --exists mysqlclient' returned non-zero exit status 127.
      Trying pkg-config --exists mariadb
      Command 'pkg-config --exists mariadb' returned non-zero exit status 127.
      Traceback (most recent call last):
        File "/usr/local/lino/lino_local/prod/env/lib/python3.9/site-packages/pip/_vendor/pyproject_hooks/_in_process/_in_process.py", line 353, in <module>
          main()
        File "/usr/local/lino/lino_local/prod/env/lib/python3.9/site-packages/pip/_vendor/pyproject_hooks/_in_process/_in_process.py", line 335, in main
          json_out['return_val'] = hook(**hook_input['kwargs'])
        File "/usr/local/lino/lino_local/prod/env/lib/python3.9/site-packages/pip/_vendor/pyproject_hooks/_in_process/_in_process.py", line 118, in get_requires_for_build_wheel
          return hook(config_settings)
        File "/tmp/pip-build-env-j0hh8zo3/overlay/lib/python3.9/site-packages/setuptools/build_meta.py", line 341, in get_requires_for_build_wheel
          return self._get_build_requires(config_settings, requirements=['wheel'])
        File "/tmp/pip-build-env-j0hh8zo3/overlay/lib/python3.9/site-packages/setuptools/build_meta.py", line 323, in _get_build_requires
          self.run_setup()
        File "/tmp/pip-build-env-j0hh8zo3/overlay/lib/python3.9/site-packages/setuptools/build_meta.py", line 338, in run_setup
          exec(code, locals())
        File "<string>", line 154, in <module>
        File "<string>", line 48, in get_config_posix
        File "<string>", line 27, in find_package_name
      Exception: Can not find valid pkg-config name.
      Specify MYSQLCLIENT_CFLAGS and MYSQLCLIENT_LDFLAGS env vars manually
      [end of output]

  note: This error originates from a subprocess, and is likely not a problem with pip.
error: subprocess-exited-with-error

× Getting requirements to build wheel did not run successfully.
│ exit code: 1
╰─> See above for output.

note: This error originates from a subprocess, and is likely not a problem with pip.

Environment

No response

How did you install libmysqlclient libraries?

No response

What version of mysqlclient do you use?

No response

Docker command to start MySQL server

No response

Minimum but complete code to reproduce

No response

Schema and initial data required to reproduce.

No response

Commands, and any other step required to reproduce your issue.

No response