Throw the "book" away!
Sorry....I may be wrong (I'm not) but there's no such thing as a dry incubator.
A "Dry" incubator is an oven!
You could actually make Beef Jerky by thinly slicing some steak, salting and seasoning it and keeping it in a similar environment at not a lot more than 99 deg f over 3 weeks!
It is critical for the survival of the chick to have humidity of around 60% for the first 2 weeks and then a bit higher for the next 4 days.
When you go into the hatching stage in the last 3 days humidity needs to be up around 80%.
The egg needs to lose only 14% of it's initial weight during incubation.
A "dry" incubator set at 99 deg would most certainly dry the egg out a hell of a lot more than that!
The fact that you have actually managed to get a chick out is a real credit to you!
I'll bet good money the little guy was thirsty!
Please keep trying but get rid of the "dry" incubator or put some chick proof shallow water containers in the one you have and buy a reliable hygrometer so you can control the humidity.
I'm curious to know what brand etc it is.
If you opt for a new incubator don't be put off by the Made In China sticker on a Janoel 48 egg auto turn. They're more than a lot better than a Hovabator (I've used both and now use 2 Janoel 48 eggers) and come factory pre set for chickens.
The instructions that come with the ones available to Aus are a bit dodgy but the reality is that you don't need them.
You unpack it, cut the cable tie on the turner motor, plug the turner motor in, put water in one of the channels in the bottom (you'll put water in the other one as well for the last week), plug it in, switch it on, warm it up and chuck some eggs in!
If you're in a position to be with your incubator all day then the 60 egg semi auto turn Janoel is even better value for money.
Stick with it!
Best regards.
Rob.