So when Conan says "why does your face even looks like mine anyway?" He just straight up gave away he's Shinichi to Kaito right? And the whole magical drug to shrink you body that would be otherwise unfathomable in their ordinary world.
Not like it wasn't given away already with their current deal but at least that you can still sort of twist it to Conan was told by Shinichi to tell Kid to do his a favor via cellphone. The same schpill that was used for everyone else with no one raising any question.
Yeah I think at this point he actually does trust Kid, it's not like Kid can tell anyone else and have them believe him. He's a master thief and all that....
Anyway I called it last chapter, he's not even wearing a disguise, I've been wanting this to happen for a while
Edit: actually, this could be a deliberate choice for the long-term story. Now that Kid knows Conan's exact identity, he could get curious and end up being a valuable ally in the final arc.
Gosho Aoyama is getting old, at some point he's definitely going to decide to draw the final showdown with the black organization, and a guy with Kid's skills could be pretty useful in setting that up in a convincing manner.