Prior to integrating the spice cake mix into the cream cheese amalgamation, it is imperative to heat treat the dry cake mix. This can be accomplished by dispersing the mix into a medium-sized, heat-resistant bowl and subjecting it to microwaving in two intervals of 30 seconds each. After each interval, stir the mixture. Once done, allow the mix to reach room temperature before proceeding.

In a secondary medium-sized mixing vessel, combine the cream cheese that has been softened to room temperature with the pumpkin puree. Utilize a handheld electric mixer and mix at a medium-high velocity for approximately 1-2 minutes, ensuring a smooth and homogenized consistency.

To the aforementioned mixture, introduce the now cooled spice cake mix. Continue to blend on a medium-high speed until all components are thoroughly integrated. It should be noted that the resulting mixture will exhibit a thick consistency.

Cover the resultant mixture and refrigerate for a period of 2 hours.

Prepare two extensive baking trays by lining them with parchment paper.

With the aid of a 1-tablespoon measure, extract uniform amounts of the refrigerated mixture and shape them into spheres by rolling between the palms. Place these on one of the pre-prepared trays. Continue this process until all the mixture has been utilized.

For the coating, the white chocolate almond bark should be placed in a microwave-safe container and subjected to heat in intervals of 30 seconds. It's essential to stir the mixture between each heating phase until the chocolate has completely liquefied and exhibits a smooth texture. Alternatively, one may adhere to the specific melting guidelines provided on the packaging of the selected white chocolate almond bark.

Retrieve the tray with the shaped mixture from the refrigerator. Employing a fork, immerse each spherical shape into the molten white chocolate almond bark, ensuring a uniform coating. Once coated, allow the excess to drip off by tapping the fork gently against the bowl's rim.

Carefully transfer the coated entities onto the second parchment-lined tray. If required, a toothpick can assist in positioning the coated bites onto the tray.

While the white chocolate coating remains in a semi-liquid state, garnish each bite with a measured amount of pumpkin pie spice.

Allow sufficient time for the Pumpkin Spice Cheesecake Bites to solidify before serving or storing.