Hi Andy! First, yes, we have many members in Singapore and members meet members and often play together.
The changing biases you refer to are not really much problem. Yes, NOR is comprised of 3 systems but each of the 3 beats more than one bias and you are allowed to change systems when absolutely necessary.
But the 3 scenarios you mention do not present a problem and would not even require us to change systems. You mention a straight run eventually followed by a ZZ, eventually followed by a TT (PP BB PP BB etc.)
The straight run would put you on NOR system F3 which also beats your ZZ run as well as your TT run.
In preshuffled cards, like you have at your casino, we usually let a few hands go by to get a feel for the bias of the shoe. But we have ways of ascertaining the bias as well as its strength over about ten hands or so.
BTW, we also teach NB, included, which is particularly designed for your preshuffled cards. Try it, you'll like it.
Right now you are playing just like everybody else and they lose to the tune of 26% on average. Baccarat is not a game you can learn to beat by yourself. I'm sure you must know that by now.