I'm doubting that allspice is easily fruitable indoors. Still waiting on flowers here, and our tree is 9 feet or more, outdoors. Seems it would need more intense light and humidity.
Having said that, I would still go for it, and hope you prove me wrong and laugh in my face for doubting.
Beautiful tree, with useful leaves and sticks. Don't need fruit to be worth growing.
I grill with allspice leaves and sticks in the smoker box. Yum