[Python] How can I change the version of Python Windows will use for my code and install numpy?

When I try pip install numpy, it outputs an error:

Build type: native build
Project name: NumPy
Project version: 2.2.2
C compiler for the host machine: cc (gcc 13.2.0 "cc (Rev3, Built by MSYS2 project) 13.2.0")
C linker for the host machine: cc ld.bfd 2.41
C++ compiler for the host machine: c++ (gcc 13.2.0 "c++ (Rev3, Built by MSYS2 project) 13.2.0")
C++ linker for the host machine: c++ ld.bfd 2.41
Cython compiler for the host machine: cython (cython 3.0.11)
Host machine cpu family: x86_64
Host machine cpu: x86_64
Program python found: YES (C:\msys64\ucrt64\bin\python.exe)
Found pkg-config: YES (C:\msys64\ucrt64\bin\pkg-config.EXE) 2.1.0
Run-time dependency python found: YES 3.11
Has header "Python.h" with dependency python-3.11: NO


The last two lines are what grabbed my attention. I want to use Python 3.13, because I think it will come with this header (Python.h) and solve the issue.

I tried installing Python 3.13 from official website, from Microsoft Store and adding the files to PATH at the top, but it didn't work. When I type python --version in cmd, it outputs 3.11.7. Same for python3 --version. I am sure I added the files to the Path correctly. How can I fix this?

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