pip: Flit's dynamic description is not working with pip 22.2 along with python 3.8, 3.9

Minimal reproduction: https://github.com/furiosamg/flit-dynamic-pip-22

I think flit’s dynamic description generation is broken in pip 22.2. When trying to install above package with pip 22.2, following error occurred.

$ pip install pip==22.2 && pip install .
Looking in indexes: https://pypi.org/simple, https://internal-pypi.furiosa.dev/simple
Requirement already satisfied: pip==22.2 in /root/miniconda3/envs/env-3.9/lib/python3.9/site-packages (22.2)
WARNING: Running pip as the 'root' user can result in broken permissions and conflicting behaviour with the system package manager. It is recommended to use a virtual environment instead: https://pip.pypa.io/warnings/venv
Looking in indexes: https://pypi.org/simple, https://internal-pypi.furiosa.dev/simple
Processing /root/flit-dynamic-pip-22
  Installing build dependencies ... error
  error: subprocess-exited-with-error

  × pip subprocess to install build dependencies did not run successfully.
  │ exit code: 2
  ╰─> [45 lines of output]
      Looking in indexes: https://pypi.org/simple, https://internal-pypi.furiosa.dev/simple, https://internal-pypi.furiosa.dev/simple
      Collecting flit_core<4,>=3.2
        Using cached flit_core-3.7.1-py3-none-any.whl (60 kB)
      Installing collected packages: flit_core
      /root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/setuptools/config/pyprojecttoml.py:103: _ExperimentalProjectMetadata: Support for project metadata in `pyproject.toml` is still experimental and may be removed (or change) in future releases.
        warnings.warn(msg, _ExperimentalProjectMetadata)
      ERROR: Exception:
      Traceback (most recent call last):
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/pip/_internal/cli/base_command.py", line 167, in exc_logging_wrapper
          status = run_func(*args)
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/pip/_internal/cli/req_command.py", line 247, in wrapper
          return func(self, options, args)
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/pip/_internal/commands/install.py", line 461, in run
          installed = install_given_reqs(
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/pip/_internal/req/__init__.py", line 73, in install_given_reqs
          requirement.install(
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/pip/_internal/req/req_install.py", line 752, in install
          scheme = get_scheme(
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/pip/_internal/locations/__init__.py", line 246, in get_scheme
          old = _distutils.get_scheme(
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/pip/_internal/locations/_distutils.py", line 130, in get_scheme
          scheme = distutils_scheme(dist_name, user, home, root, isolated, prefix)
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/pip/_internal/locations/_distutils.py", line 46, in distutils_scheme
          d.parse_config_files()
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/setuptools/dist.py", line 854, in parse_config_files
          pyprojecttoml.apply_configuration(self, filename, ignore_option_errors)
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/setuptools/config/pyprojecttoml.py", line 55, in apply_configuration
          config = read_configuration(filepath, True, ignore_option_errors, dist)
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/setuptools/config/pyprojecttoml.py", line 135, in read_configuration
          return expand_configuration(asdict, root_dir, ignore_option_errors, dist)
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/setuptools/config/pyprojecttoml.py", line 190, in expand_configuration
          return _ConfigExpander(config, root_dir, ignore_option_errors, dist).expand()
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/setuptools/config/pyprojecttoml.py", line 237, in expand
          self._expand_all_dynamic(dist, package_dir)
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/setuptools/config/pyprojecttoml.py", line 272, in _expand_all_dynamic
          obtained_dynamic = {
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/setuptools/config/pyprojecttoml.py", line 273, in <dictcomp>
          field: self._obtain(dist, field, package_dir)
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/setuptools/config/pyprojecttoml.py", line 310, in _obtain
          self._ensure_previously_set(dist, field)
        File "/root/miniconda3/envs/env-3.9/lib/python3.9/site-packages/setuptools/config/pyprojecttoml.py", line 296, in _ensure_previously_set
          raise OptionError(msg)
      distutils.errors.DistutilsOptionError: No configuration found for dynamic 'description'.
      Some dynamic fields need to be specified via `tool.setuptools.dynamic`
      others must be specified via the equivalent attribute in `setup.py`.
      [end of output]

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

× pip subprocess to install build dependencies did not run successfully.
│ exit code: 2
╰─> See above for output.

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