VS Code cannot find a header, already in PATH and in settings.json

Question

I know this is one of the most common questions here, but I couldn't make the already existing answers work for me.

I am trying the set my VS Code to work with C. So, as a proof of concept, I run this sophisticated code:

#include "io.h"

int main() {
    printf("Hello");
}

Obvious from the title, I receive this error message:

fatal error C1034: io.h: no include path set

Visually inspecting, io.h is in the folder: C:\Program Files (x86)\Windows Kits\10\Include\10.0.10240.0\ucrt\ which is included in the Path.

So, I looked for other solutions. A few of the answers suggested editing the settings.json. So, I added all the folders including all the header files to the settings.json. Note that all of these folders are also in the Path.

"C_Cpp_Runner.includePaths": [
    "C:\\Program Files (x86)\\Windows Kits\\10\\Include\\10.0.10240.0\\ucrt\\",
    "C:\\DEV\\vcpkg\\installed\\x86-windows\\include\\",
    "C:\\Program Files (x86)\\Microsoft Visual Studio\\2019\\Enterprise\\VC\\Tools\\MSVC\\14.29.30133\\include\\"
  ],

The include path of VS Code looks like this.

For the sake of completeness, I also include my PATH variable here.

Some answers mentioned checking the compiler as well. ```gcc --version`` output is as follows:

gcc (x86_64-posix-seh, Built by strawberryperl.com project) 8.3.0
Copyright (C) 2018 Free Software Foundation, Inc.
This is free software; see the source for copying conditions.  There is NO
warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

I restarted my computer each time I edited Path. I don't know what else to do.

The questions on stackoverflow that I already tried to make work are: 1, 2, 3, 4 and a few more that I can't find now.

I apologise if there is an obvious solution that I miss, yet I already spent two days to solve this on my own.

Thanks