How to bundle python extensions / bindings?

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I wanted to bundle an app which contains a pywebview package for linux

pywebview relies on GTK or QT python bindings to works.

pyOxidizer doesn't seems to automatically bundle with this policy:
policy.extension_module_filter = "all"

i supposed then that i have to manually point the qtpy location and add it as a resources .
but it didn't seem to work, I'll follow my the errors and then the make_exe

[pywebview] GTK cannot be loaded
Traceback (most recent call last):
  File "webview.guilib", line 25, in import_gtk
    import webview.platforms.gtk as guilib
  File "webview.platforms.gtk", line 20, in <module>
    import gi
ModuleNotFoundError: No module named 'gi'
[pywebview] QT cannot be loaded
Traceback (most recent call last):
  File "webview.guilib", line 37, in import_qt
    import webview.platforms.qt as guilib
  File "webview.platforms.qt", line 24, in <module>
    from qtpy import QtCore
  File "qtpy", line 287, in <module>
    raise QtBindingsNotFoundError from None
qtpy.QtBindingsNotFoundError: No Qt bindings could be found
Traceback (most recent call last):
  File "runpy", line 196, in _run_module_as_main
  File "runpy", line 86, in _run_code
  File "start", line 12, in <module>
  File "start", line 9, in main
  File "webview", line 155, in start
  File "webview.guilib", line 109, in initialize
webview.util.WebViewException: You must have either QT or GTK with Python extensions installed in order to use pywebview.
error: cargo run failed

def make_exe():
    dist = default_python_distribution()

    policy = dist.make_python_packaging_policy()
    policy.allow_in_memory_shared_library_loading = True
    policy.allow_files = True

    python_config = dist.make_python_interpreter_config()
    python_config.module_search_paths = ["$ORIGIN/lib"]
    python_config.run_module = "start"
    exe = dist.to_python_executable(
        name="server",
        packaging_policy=policy,
        config=python_config,
    )

    exe.licenses_filename = "licenses.md"

    for resource in exe.pip_install(["-r", "requirements.txt"]):
        if type(resource) == "File" and ".so" in resource.path:
            print("Adding " + resource.path + " to bundle")
            resource.add_include = True
        exe.add_python_resource(resource)
    exe.add_python_resources(exe.read_package_root(CWD, ["back","api", "start"]))
    exe.add_python_resources(exe.read_package_root("/lib/python3.10/site-packages/", ["qtpy"]))

    return exe

Hence my question, what should i try to make it work? Thanks

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The issue is in fact deeper than i previously anticipated, as it revolves around so much things that aren't my cup of tea to learn so i'm giving up on this one.