Do I train in a wetsuit?

Yes and no.

OWS - use the wettie or stay in shallow water.  Better safe than sorry.

Pool - never use the wettie.

Train for the demands of the race, not race day every day. So with that, much of your time should be helping you to develop your swim as best you can. And specifically with the wetsuit, train in it enough so that you're comfortable using it. This should not take a whole lot to do.

Periodize your training -

Months before a race, get in a pool and work on improving your general swimming skills and fitness.  As the time of your race(s) gets nearer, adjust your training so it more closely resembles what you'll be doing during races.  This means doing ows in your wetsuit if your races fit that description.

The main reason to not train with a wetsuit in a pool is because the chlorine etc will damage the wetsuit over time, and wetsuits aren't exactly cheap. Also, you might overheat in some warm/hot pools that are cranked up for the water aerobics classes.

But there's otherwise nothing wrong with training in a wetsuit, especially if you train a lot in OW. In fact, it would be a lot better for the vast majority of beginner triathletes to actually train in wetsuits than not (if not for the pool issue), as you'd hear so many fewer complaints of "the suit didn't fit me right and I almost DNFd the swim!" - if you're in that wetsuit day in day out in training, odds of a misfit issue on race day are near-zero.