>the only logical conclusion is that there are no other technologically advanced species in the Milky Way or that we're the first(very unlikely).

Why is this unlikely? The likelihood of intelligent life emerging that gets far enough in their development to try to colonize a galaxy might be so low that it could easily only be once per galaxy or even rarer than that.

Think about how long multicellular life has existed on this planet and yet a very narrow band ended up 'becoming intelligent' and even then it took a long time before industrialization that finally propelled us forward.