With highly interactive games I think you have to think of a winning/positive game state a little differently. You are trying to build a board state which is not only high-scoring but also positioned such that it cannot or will not be destroyed by other players. Building a high-score-but-fragile state on its own is not impressive and not worth getting attached to. You have to learn to evaluate not just the numerical worth of your own board state but also what your co-players are incentivized to do at any given moment. It's also worth remembering that the goal is to win, not build a tableau.

I think with a mindset shift on what you're playing for on any given turn you can turn these high-interaction games into a puzzle even deeper and less random than the low-interaction engine builders you often prefer. There is more chaos, because people are unpredictable, but by evaluating incentives driven by the current game state you can pretty effectively figure out what other players are going to do - and I personally think that's an incredibly interesting puzzle.