Line the base of a 9-inch springform pan with parchment. For ultra-clean sides, wrap the inside rim with an acetate cake collar or a strip of parchment.
Make the crust: Stir cookie crumbs, cocoa, and salt together, then drizzle in melted butter and mix until the crumbs look like wet sand. Firmly press the mixture into the pan to create an even base (use a flat-bottomed glass). Freeze 15 minutes.
Whip the cream: Chill a mixing bowl and whisk for 5 minutes. Beat the cold heavy cream with 1/3 cup powdered sugar on medium-high to medium-stiff peaks. Refrigerate while you prepare the peanut butter base.
Peanut butter base: In a separate large bowl, beat cream cheese until completely smooth. Add peanut butter, milk, vanilla, and 1/3 cup powdered sugar; beat until thick, creamy, and no streaks remain. Scrape the bowl well.
Lighten and fold: Gently fold one-third of the whipped cream into the peanut butter base to loosen it, then fold in the remaining whipped cream just until combined. Fold in 1 cup chopped mini peanut butter cups.
Fill and set: Spoon the mousse over the cold crust. Tap the pan a few times on the counter to release air pockets, then smooth the top. Freeze uncovered for 20 minutes, cover, and continue freezing until very firm, at least 4 hours or overnight.
Prepare the ganache: Heat the 1/2 cup cream in a small saucepan or microwave until steaming (not boiling). Pour over chocolate chips in a heatproof bowl, sprinkle in the espresso powder, and let stand 2 minutes. Whisk until glossy and smooth, then cool 5–8 minutes until thick but pourable.
Unmold and finish: Release the springform ring and peel away the acetate. Transfer cake to a serving plate. Pour ganache onto the center and nudge it toward the edges to create drips. Immediately scatter the remaining 1 cup peanut butter cups over the top and finish with a pinch of flaky sea salt.
Set and serve: Freeze 15 minutes to set the ganache. For clean slices, warm a sharp knife under hot water, wipe dry between cuts, and let slices stand 10–15 minutes before serving.