Hi @JulienRi ,
in general the cookies the Edge network is writing in the Web SDK responses aren't bound to one specific Launch property and should work without any adaptations as long as you are using datastreams that are set up under the same AdobeOrg ID.
At least I am not aware of any limitations. Or are you talking about two different domains?
Bear in mind that adding another Launch property comes with overheads like additional maintenance, plus you will likely redefine many same data elements in two locations.
Ultimately, the visitor must download a second Launch library where his browser could have used a cached version when moving between the sections.
I would likely go with one Launch property and a clear rule naming strategy that indicates which rules are triggered under which conditions.
Just this morning, I read this interesting blog post by @kenmckell about exactly this topic.
Cheers from Switzerland!