they'd side with.... Switzerland.
The True Neutrals shall prevail!
But seriously, Liechtenstein doesn't have a military by then, and certainly wouldn't be able to build one to be able to meaningfully alter the outcome of the war in either side's favour. Worse, the outcome, whether the prince decides to be ultra gamey and join the Entente, or join the CP as reasonably expected, would probably be quite dismal anyway, ending with annexation into Austria.