"pureed ... can't identify ... brown goop" - It's a good thing you wrote "delicious and nutritious"! I actually make something similar myself using sweet potatoes, apples, cinnamon, a little nutmeg, a pinch of salt, and a little honey. If yours is quite pureed, as it seems to be by your description, I would think the bracha for it would be Shehakol. Be well, and enjoy your delicious mixture!
Added (from: https://halachipedia.com/index.php?title=Soups): "Halachos of Brachos p. 434 quoting Rav Shlomo Zalman Auerbach explained that if the vegetable was blended completely and there's no solid pieces the bracha is shehakol. However, if there's pieces it is haadama."
(Please Note: This is based off of the fact that you specifically wrote applesauce; if there are identifiable hunks/chunks of apples (i.e., not pureed/blended completely), you would have to take HaEtz into consideration, as apples are fruits of a tree. Haadama was regarding the pumpkin.)
(from: https://halachipedia.com/index.php?title=Fruits_and_Vegetables: "Apple - HaEtz העץ" and "Pumpkin - HaAdama האדמה" - Source cited: Veten Bracha (Halachos of Brochos by Rabbi Bodner pg 396, chapter 22))