In a small bowl, mix together graham cracker crumbs, sugar, and pumpkin pie spice.
Add melted butter to bowl and stir until all ingredients are damp and lightly clumping.
Pour pumpkin spice crust mix in the bottom of a 9-inch springform pan. Use your hands to firmly press mixture to the bottom of the pan and about 1/2 inch up the sides. If needed, use the back of a spoon to smooth everything out.
Place plan in the oven and bake for 8 minutes. Remove pan and place on a wire cooling rack to cool. Let crust cool completely before adding filling, about 30 minutes.
For the Pumpkin Spice Cheesecake Filling
Preheat oven to 350 F again (if needed).
Using a stand mixer (or hand mixer + large bowl, add cream cheese and light brown sugar. Beat on low speed until fluffy and there are no more clumps, about 5 minutes. Set aside.
In another large bowl, whisk together (do not use mixer) pumpkin puree, eggs, greek yogurt, flour, pumpkin pie spice, salt, and vanilla. Mix until just combined; mixing the eggs too much can result in air bubbles in the cheesecake, which can cause the surface to crack while baking.
Slowly add the pumpkin mixture in the bowl with the cream cheese, then set mixer speed to low. As before, mix only until just combined. Run a spatula along the edges of the bowl to ensure everything gets incorporated.
Pour cheesecake mix in the prepared 9-inch springform pan. Mixture should almost completely fill the pan, leaving about a 1/2 inch rim around the top.
Place the springform pan in the oven and bake for 1 hour. When done, turn off the oven and prop the oven door open with a wooden spoon. Allow cheesecake to sit in the oven for another 45 minutes.
When finished, remove cake from the oven and let cool completely on a wire rack (still in the springform pan). Wrap the top of the cake with plastic wrap and chill in the refrigerator for at least 4 hours before serving.
For the Caramel Drizzle
In a small saucepan over medium-low heat, add caramels and evaporated milk. Cook until caramels have melted and sauce is smooth, whisking frequently. Allow sauce to cook for 1 additional minute, then remove from heat.
Allow sauce to cool for at least 10 minutes before using.
Putting It All Together
When ready to serve, remove cheesecake from springform pan (tip: run a butter knife around the edge of the pan to help loosen the cheesecake) then transfer to a serving plate of your choice.
As cheesecake is cut and served, drizzle caramel sauce on slices of cheesecake. If desired, sprinkle with more pumpkin pie spice and add a dollop of whipped cream on top.
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