Problem with CCVS in a circuit.

Hello !

I've got a problem with a circuit :

I tried to make Norton or Thevenin circuit but from those calculations.



And Rw equals :



Can Rw be equal minus infinity ? I know that infinity dilitation. But I don't know how it works with this one on the simulation :

https://tinyurl.com/25gz9a7t


Here it is normally infinite :



What am I doing wrong in my calculations ?

EDIT:

I also tried with Norton but with different parameters : R1 = r = 1k, R2 = 2k



Why on the simulation it is https://tinyurl.com/2dmq42o3