unfortunately there is no one jacket that's going to the trick; too many variables in weather and too many variable throughout the day big game hunting- hiking up a steep ridge vs sitting and glassing are polar opposites of what's needed

the best jacket in the rain/wet snow is a good rain jacket (my preference is the Sitka Dewpoint- lightweight, but still fully featured and durable)

the best jacket on the move is a good active layer jacket (my preference is the sadly now discontinued Patagonia Nano Light- extremely breathable, fast drying and warm while moving)

the best jacket glassing is a good warm puffy jacket (my preference is Nunatak's custom Apex insulated PCT jacket- can select how much insulation, sleeve lengths, overall length, fabric, etc)