Firstly, the error you are receiving on Elements.Type (if it is the Archi-Lab node) is because you are calling it with Rooms, and Rooms don’t have a (Revit) type.
To be specific about the link you are querying, you can use List.GetItemAtIndex to isolate the specific link you are interested in before passing to Element.GetFromLinkedFile:
To be more concise, you can use Rhythm to choose the link from a dropdown:
Hope this helps,
Thomas