with pytest.raises(OtherDependencyError):
        client.get("/context_b_raise")
    assert state["context_b"] == "finished b with a: started a"
    assert state["context_a"] == "finished a"


def test_background_tasks():
    response = client.get("/context_b_bg")
    data = response.json()
    assert data["context_b"] == "started b"
    assert data["context_a"] == "started a"
    assert data["bg"] == "not set"