Preheat oven to 325°F. Wrap the outside of the springform pan tightly with heavy-duty foil to prepare for a water bath.
In the bowl of a stand mixer fitted with the paddle attachment, beat the cream cheese until completely smooth.
Add sugar and espresso powder and mix just until combined, scraping down the sides of the bowl as needed.
Slowly pour in the slightly cooled, melted chocolate while mixing on low speed until fully incorporated.
Add sour cream and vanilla bean paste. Mix on low until combined, then add the heavy cream and mix briefly.
Add eggs one at a time, mixing on low speed after each addition and scraping the bowl as needed. Do not overmix.