Laminated glass is not too expensive. The reasons are they can cut it to your size and shape right at any auto glass dealer. The drawback for my application was the strength. It's not strong at all in fact less than the same thckness of solid glass, due to it being a sandwich of two panes. But it holds together for safety reasons needed in autos and many lobster boats use it. It's also cut for smaller ports, but mine are quite large and I wouldn't trust it.
Tempered glass on the other hand would have needed to be cut by my supplier, then sent out to temper(baked in a special oven to high temperature). It was something like 2 to 3 times the cost as I recall. There is no comparison in strength though and the glass folks demonstrated with trying to break a piece with a hammer.
I re installed my 50 year old tempered panes with confidence in their strength.
In your case, I don't know what I'd do. If it's a hard dodger,you're likely to keep it on in rough conditions and that could mean a good wave or two. I doubt laminated glass would stand up in a large panel. Tempered would take more abuse but could be expensive. And will the rest of the dodger withstand the waves? Maybe a sheet product you can replace easily would be best?
The design of the hard dodger looks like the challenge. Some look great, but many don't.