mingw 64 ships without make.exe?

mingw32-make.exe is the one you want to use. It is the version of make shipped with MinGW-w64. A plain make.exe does not exist. Don’t get confused by the name. You use mingw32-make.exe no matter if you want to produce 32bit or 64bit binaries.

You can create a symbolic link make.exe target to mingw32-make.exe, this way you can run make instead of mingw32-make. I found Git Bash is very useful for running Linux like tools on Windows.