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Potatoes are very closely
Potatoes are very closely related to tomatoes, both used to be place in the same genus, Solanum. The little balls are inedible potato berries (yes, a tomato is a berry too, but neither a strawberry nor a raspberry is a true berry). Most commercial potatoes are half or totally infertile (bad pollen) so berries are rare. Berry set is also very sensitive to temperature. You can ferment the seeds like you would for a tomato (the gel contains sprouting inhibitors so it must be rotted off) and grow potato plants from the tiny seeds. The first year you will get little tubers that can be used for planting the following year for a full harvest. Some early varieties may not flower at all, but it is rare, AFAIK. Too much nitrogen and too little light could also inhibit flowering and tuber production. Flowering and fruiting does not affect tuber production so that you would notice, and native bees love the flowers.