How to "fix" a MultiCurve object ?

Hello !

I have MultiCurve objects (GeoJson MultiLineString) that represent routes along roads, and which have some geometry issues : sometimes lines are overlapping, and some lines meet at a point but with opposite direction.

Here is the overall dataset :

And here is a problematic area :

Exemple dataset is available [here].

So my question is : is it possible get a cleaner file, with no overlapping lines or segments, and with a better global direction consistency ? And how to do so ?

I tried to use Deaggregator, Intersector, Snapper, LineCombiner; and a few more, but so far I don't fully understand what I am doing, and don't get closer to what I want.

Thanks in advance for any tip or help :)