def inject_fixture(request: FixtureRequest, arg: str, value: Any) -> None:
        """Inject fixture into pytest fixture request.

        :param request: pytest fixture request
        :param arg: argument name
        :param value: argument value
        """
        fd = FixtureDef(
            config=request._fixturemanager.config,
            baseid=request.node.nodeid,
            argname=arg,
            func=lambda: value,
            scope="function",
            params=None,
            ids=None,
            _ispytest=True,
        )

        fd.cached_result = (value, 0, None)

        old_fd = request._fixture_defs.get(arg)
        add_fixturename = arg not in request.fixturenames

        def fin() -> None:
            request._fixturemanager._arg2fixturedefs[arg].remove(fd)

            if old_fd is not None:
                request._fixture_defs[arg] = old_fd

            if add_fixturename:
                request._pyfuncitem._fixtureinfo.names_closure.remove(arg)

        request.addfinalizer(fin)

        # inject fixture definition
        request._fixturemanager._arg2fixturedefs.setdefault(arg, []).append(fd)

        # inject fixture value in request cache
        request._fixture_defs[arg] = fd
        if add_fixturename:
            request._pyfuncitem._fixtureinfo.names_closure.append(arg)