Is "barista bar" redundant?
Solution 1:
While I would agree that the term "barista bar" seems redundant, I could see a situation in which it may be used. For instance, the place may also has a salad bar where employees tend to eat, and to which they refer often. In that situation, it may be useful to specify that the bar you are talking about is not the one with the salad, but rather the one with the baristas. Additionally, when deciding where to meet, some might find the phrasing "would you like to meet at the salad bar or the bar?" a bit awkward, and may say "salad bar or barista bar" instead. If this happens often enough, the term may find its way into general use around the workplace.
Solution 2:
Barista bar is not very common. Googling it mostly seems to return proper names (bars with barista in the name).
When I read barista bar without any context I'd think it's a bit odd and could have two meanings: a bar for baristas or a coffee bar (because I'd associate barista with coffee). In the first case it seems fine (although a bar for baristas is less ambiguous) while in the second case there are better alternatives.
Since you mean the latter, I'd go with coffee bar, hot beverage bar or just bar. The first implies the bar specialises in serving coffee and perhaps other hot beverages avoiding any ambiguity. The latter is more general and might be associated with bars serving alcoholic beverages.