Learn Farsi: او در همان کارگاه سفالگری یاد می‌گیرد. - She learns pottery making in that very workshop.

The base word is سفال meaning clay or earthenware. First, the occupational suffix -gar is added to make سفالگر (potter). Then, the abstract noun suffix -i is added to create سفالگری (the craft or practice of pottery). In Farsi, the -gari ending is a very common way to name a profession, craft, or practice.

What is the exact difference between using همان instead of just آن before کارگاه?

While آن simply means that, همان means that same or that very. It adds emphasis, showing that she learns in the exact specific workshop that was just being talked about in the conversation.

Do we need to pronounce an Ezafe between کارگاه and سفالگری?

Yes, in this interpretation you should pronounce it as کارگاهِ سفالگری (kârgâh-e sofâlgari). The hidden Ezafe vowel connects the noun کارگاه (workshop) to the noun سفالگری (pottery making) to create the descriptive phrase pottery workshop.

How does the syntax change if I do not use the Ezafe and instead pause after کارگاه?

If you pause and treat them separately, سفالگری becomes the direct object of the verb rather than part of the location phrase. It shifts the literal meaning from She learns in that very pottery workshop to She learns pottery in that very workshop. Both are grammatically correct and look exactly the same in written Farsi.