While the original meaning referred to a variety of cooked or prepared foods, it has evolved to primarily refer to the establishment where these foods are sold. This is why we commonly use "deli" as a shorthand for "delicatessen".
Here are some examples of how the term is used in its secondary meaning:
* "I went to the deli to pick up some sandwiches for lunch."
* "They have a great selection of cheeses at the deli."
* "Let's grab some coffee and pastries from the deli next door."
It's worth noting that even though "deli" often refers to a store, the primary meaning of the word still exists. It's just less common in everyday usage.