node-gyp builds on wrong nodejs version

I have problems with building my own module on nodejs versions that differ from the system version.

• Node Version: v12.22.2 or v16.4.1
• Platform: Linux 5.10.42-1-MANJARO # 1 SMP PREEMPT Thu Jun 3 14:37:11 UTC 2021 x86_64 GNU/Linux
• Compiler: gcc v11.1.0 (GCC)

I have two versions of nodejs in my nvm: v12 and v16. v16 is my main system version.
Here you can see I use v12:

$ nvm list
->     v12.22.2
        v16.4.1
         system
default -> 12 (-> v12.22.2)
iojs -> N/A (default)
unstable -> N/A (default)
node -> stable (-> v16.4.1) (default)
stable -> 16.4 (-> v16.4.1) (default)

$ node -v
v12.22.2

I want to make a node c++ addon for node 12.
Here you can see node-gyp uses args for 12th version:

$ node-gyp configure
gyp info it worked if it ends with ok
gyp info using node-gyp@8.1.0
gyp info using node@12.22.2 | linux | x64
gyp info find Python using Python version 3.9.5 found at "/usr/bin/python3"
gyp info spawn /usr/bin/python3
gyp info spawn args [
gyp info spawn args   '/home/unlomtrois/.nvm/versions/node/v12.22.2/lib/node_modules/node-gyp/gyp/gyp_main.py',
gyp info spawn args   'binding.gyp',
gyp info spawn args   '-f',
gyp info spawn args   'make',
gyp info spawn args   '-I',
gyp info spawn args   '/home/unlomtrois/development/node/node-cpp-module-test-task/build/config.gypi',
gyp info spawn args   '-I',
gyp info spawn args   '/home/unlomtrois/.nvm/versions/node/v12.22.2/lib/node_modules/node-gyp/addon.gypi',
gyp info spawn args   '-I',
gyp info spawn args   '/home/unlomtrois/.cache/node-gyp/12.22.2/include/node/common.gypi',
gyp info spawn args   '-Dlibrary=shared_library',
gyp info spawn args   '-Dvisibility=default',
gyp info spawn args   '-Dnode_root_dir=/home/unlomtrois/.cache/node-gyp/12.22.2',
gyp info spawn args   '-Dnode_gyp_dir=/home/unlomtrois/.nvm/versions/node/v12.22.2/lib/node_modules/node-gyp',
gyp info spawn args   '-Dnode_lib_file=/home/unlomtrois/.cache/node-gyp/12.22.2/<(target_arch)/node.lib',
gyp info spawn args   '-Dmodule_root_dir=/home/unlomtrois/development/node/node-cpp-module-test-task',
gyp info spawn args   '-Dnode_engine=v8',
gyp info spawn args   '--depth=.',
gyp info spawn args   '--no-parallel',
gyp info spawn args   '--generator-output',
gyp info spawn args   'build',
gyp info spawn args   '-Goutput_dir=.'
gyp info spawn args ]
gyp info ok

$ node-gyp build
gyp info it worked if it ends with ok
gyp info using node-gyp@8.1.0
gyp info using node@12.22.2 | linux | x64
gyp info spawn make
gyp info spawn args [ 'BUILDTYPE=Release', '-C', 'build' ]
make: вход в каталог «/home/unlomtrois/development/node/node-cpp-module-test-task/build»
  CXX(target) Release/obj.target/fibonacci/src/fibonacci.o
  SOLINK_MODULE(target) Release/obj.target/fibonacci.node
  COPY Release/fibonacci.node
make: выход из каталога «/home/unlomtrois/development/node/node-cpp-module-test-task/build»
gyp info ok

But after I configure and build my module, I cannot run it. It says It was compiled for 93th (16.x) version, and I cannot run it on node 12.

$ node build/Release/fibonacci.node 
internal/modules/cjs/loader.js:1057
  return process.dlopen(module, path.toNamespacedPath(filename));
                 ^

Error: The module '/home/unlomtrois/development/node/node-cpp-module-test-task/build/Release/fibonacci.node'
was compiled against a different Node.js version using
NODE_MODULE_VERSION 93. This version of Node.js requires
NODE_MODULE_VERSION 72. Please try re-compiling or re-installing
the module (for instance, using `npm rebuild` or `npm install`).
    at Object.Module._extensions..node (internal/modules/cjs/loader.js:1057:18)
    at Module.load (internal/modules/cjs/loader.js:863:32)
    at Function.Module._load (internal/modules/cjs/loader.js:708:14)
    at Function.executeUserEntryPoint [as runMain] (internal/modules/run_main.js:60:12)
    at internal/main/run_main_module.js:17:47

When I swtich to my system node version, I can run and use this build.

I think node-gyp compiled my module using the system version (16.4.1) binaries and headers.
How to fix this behaviour?

If you ask me why I need that old nodejs version: these are the conditions of the test task. I can't use my system version to perform this task.

Start with the reported node-gyp configure and node-gyp build commands, then inspect binding.gyp, build/config.gypi, and the Node headers under .cache/node-gyp/12.22.2. Compare the version used during compilation with the runtime error's module versions, and verify the fix by rebuilding and loading build/Release/fibonacci.node under Node 12.