Try using pymanager to install Python for GCS testbench

Author: raulcd

ci/docker/python-wheel-windows-vs2022-base.dockerfile

@@ -110,11 +110,8 @@ RUN curl https://dl.min.io/server/minio/release/windows-amd64/archive/minio.RELE
     --output "C:\Windows\Minio.exe"
 
 # Install the GCS testbench using a well-known Python version.
-# NOTE: cannot use pipx's `--fetch-missing-python` because of
-# https://github.com/pypa/pipx/issues/1521, therefore download Python ourselves.
-RUN choco install -r -y --pre --no-progress python --version=3.11.9
-ENV PIPX_BIN_DIR=C:\\Windows\\
-ENV PIPX_PYTHON="C:\Python311\python.exe"
+ENV PIPX_PYTHON_VERSION=3.11
+RUN pymanager install %PIPX_PYTHON_VERSION%
 COPY ci/scripts/install_gcs_testbench.bat C:/arrow/ci/scripts/
 RUN call "C:\arrow\ci\scripts\install_gcs_testbench.bat" && `
     storage-testbench -h

ci/scripts/install_gcs_testbench.bat

@@ -20,14 +20,11 @@
 set GCS_TESTBENCH_VERSION="v0.55.0"
 
 set PIPX_FLAGS=--verbose
-if NOT "%PIPX_PYTHON%"=="" (
-  set PIPX_FLAGS=--python %PIPX_PYTHON% %PIPX_FLAGS%
-)
 
-python -m pip install -U pipx || exit /B 1
+py -%PIPX_PYTHON_VERSION% -m pip install -U pipx|| exit /B 1
 
 @REM Install GCS testbench %GCS_TESTBENCH_VERSION%
-pipx install %PIPX_FLAGS% ^
+pipx install --python py %PIPX_FLAGS% ^
         "https://github.com/googleapis/storage-testbench/archive/%GCS_TESTBENCH_VERSION%.tar.gz" ^
         || exit /B 1