Line the muffin tins with the muffin liners and set them aside.
Stuffing
If you do not have a food processor, mince the mushrooms and set them aside; otherwise, process them until they are slightly larger than a grain of rice.
Melt the butter in a large sauté pan. Add the shallots in oil and poultry seasoning.
Add the mushrooms. Cook the mushrooms, stirring often, until they start releasing their liquid. Add the sherry. Continue cooking the mushrooms until most of the moisture has evaporated.
Add the onion and celery and sauté them until the onion is translucent.
Put the mixture in the bowl of a stand mixer and add the stuffing mix.
Dissolve the chicken base in the boiling water and stir until it is thoroughly dissolved.
Add the broth to the stuffing mixture and mix everything together.
Spoon the stuffing into the lined muffin tins.
Clean the bowl of the stand mixer.
Frosting
Mise en place
Peel the potatoes and cut them into large chunks.
Put the potatoes in the Instant Pot and cover them with water.
Set the Instant Pot for Potato or 10 minutes on High. Use Quick Release.
When the potatoes have finished cooking, remove them from the Instant Pot and put them in the bowl of the stand mixer.
Add the half and half and milk and beat them on high until they are nice and fluffy.
You can spoon the mashed potatoes on the stuffing, or if you want, pipe the mashed on to look like nice frosting.
Sprinkle the tops with paprika.
Bake in a 350 °F (177 °C) oven for 30 minutes or until the tops have browned. Let the cakes sit for about 10 minutes, then move them with the liners intact, and serve on a nice platter.
Notes
You can make this vegan by replacing the chicken base with vegetable base, substituting the butter in the stuffing with olive oil, and using dairy-free yogurt for the mashed potatoes.You can prepare this the night before, leave it in the refrigerator covered, and bake before serving time.
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