I'm not sure from your post above it is now a done deal or not. Sure is going to be hard to give up on a cute face like that now that you've met her!
But I'm a lab guy. Never owned a pointer, and never hunted over one except on YouTube! Lol The post above about the guys hustling to keep up and saying 'watch her, she's birdy' is definitely accurate to my experience hunting over flushing labs, I personally love it due to the pace, the excitement, the exertion etc... But if you like the sound of the more sedate and controlled pace of what the poster described about seeing his dog point, walking over, and flushing the bird himself, then maybe go with that.
Since I stated that I've never hunted over a pointer, I'm obviously not in a position to comment on which is better for pheasant or waterfowl - I would just be giving you a long list of why labs are so goddam great. And you know that already!
But one thing you didn't really touch on that much is what's important to you about your dog outside of the field. Again, I'm not for a moment suggesting that GSP are not fine pets, good around kids, easy to train etc etc... But you should think about what else you want from the dog other than flushing and retrieving various kinds of birds, and how each of the breeds suits or does not suit those criteria too. Cuz you know it - if Momma ain't happy, ain't NOBODY happy!
Lastly, and it's already been said, a cheap purebred dog is likely to become the most expensive dog you ever had. I see you posted the pedigree and others posted that it looks promising, so that's good. But of course have to be so careful with hips, elbows, eyes, allergies etc.... Just reiterating that you want to triple check that all those i's are dotted and t's are crossed.
Let us know what you end up with.
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But if it's not a lab, you're crazy. LOL
Good luck!
Dave