pip3 install pyaudio時にエラー（src/pyaudio/device_api.h:7:10: fatal error: Python.h: そのようなファイルやディレクトリはありません）

$ pip3 install pyaudio
Collecting pyaudio
  Using cached PyAudio-0.2.13.tar.gz (46 kB)
  Installing build dependencies ... done
  Getting requirements to build wheel ... done
  Preparing metadata (pyproject.toml) ... done
Building wheels for collected packages: pyaudio
  Building wheel for pyaudio (pyproject.toml) ... error
  error: subprocess-exited-with-error
  
  × Building wheel for pyaudio (pyproject.toml) did not run successfully.
  │ exit code: 1
  ╰─> [19 lines of output]
      running bdist_wheel
      running build
      running build_py
      creating build
      creating build/lib.linux-x86_64-cpython-310
      creating build/lib.linux-x86_64-cpython-310/pyaudio
      copying src/pyaudio/__init__.py -> build/lib.linux-x86_64-cpython-310/pyaudio
      running build_ext
      building 'pyaudio._portaudio' extension
      creating build/temp.linux-x86_64-cpython-310
      creating build/temp.linux-x86_64-cpython-310/src
      creating build/temp.linux-x86_64-cpython-310/src/pyaudio
      x86_64-linux-gnu-gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O2 -Wall -g -fstack-protector-strong -Wformat -Werror=format-security -g -fwrapv -O2 -fPIC -I/usr/local/include -I/usr/include -I/home/ubuntu/venv/python3.10-test/include -I/usr/include/python3.10 -c src/pyaudio/device_api.c -o build/temp.linux-x86_64-cpython-310/src/pyaudio/device_api.o
      In file included from src/pyaudio/device_api.c:1:
      src/pyaudio/device_api.h:7:10: fatal error: Python.h: そのようなファイルやディレクトリはありません
          7 | #include "Python.h"
            |          ^~~~~~~~~~
      compilation terminated.
      error: command '/usr/bin/x86_64-linux-gnu-gcc' failed with exit code 1
      [end of output]
  
  note: This error originates from a subprocess, and is likely not a problem with pip.
  ERROR: Failed building wheel for pyaudio
Failed to build pyaudio
ERROR: Could not build wheels for pyaudio, which is required to install pyproject.toml-based projects

解決策

ビルド時にPython.hが足りないということで、どこかからPython.hを持ってきて無理やりビルドして解決。（したが、pyaudioが一見すると正しく使える状態にはなったが、少々怪しいと思うのでこの方法の正式な解決方法をどなたか伝授頂けますと幸いです。。）