The board conversation talks about Palpatine, the fleet, etc. Not sure what the hang up is. Yes, the baddies talk about a spy. So what? Many bothans were killed for intel for the rebellion … did that stop the rebellion? Did they just … not listen to the intel because people died getting it?

What does it matter if Kylo says he’s going to hunt her … the resistance are always being hunted by FO and Rey would not go and do anything if Kylo says he is looking for her? The Psuedo Sith hunting the psudo Jedi? That’s kind of par for the course. Why would that stop her from doing anything?

Plus on Pasaana they have a line to keep low since their are FO patrols … so … that fits with being hunted too.

Also, as a simple audio thing too, there can be a small clicking sound and some point during the board room discussion at some point, which could be the starting point of the “leaked” conversation to the Resistance. It such a small thing but people could recognize that if they watch the movie again and make the connection. Nothing super obvious, but just a “hint” to the audience if they watch it again.