The Kitchen Liquid Dispenser in Donut 3's Kitchen is great.

[stuck_in_void_HELP]

Honestly I question the purpose of it entirely. Why does the chef need to dispense drinks, even from a utility standpoint the bar is adjacent to the kitchen. The chef being able to serve drinks seems like it just takes away from the bartender.

The chef isn't serving any drinks. I don't know where you got that idea from. 

 The condiments seem useless too, why does the chef need infinite condiments, do condiments even get used?

Any chef that doesn't just spend the entire round fractal cooking with pizzas and sandwiches uses condiments. Besides, you could make all of your arguments about medicine as well.

Why does medbay need a chem dispenser, since chemistry is right nearby most of the time? Not only that, but the infinite amount of chemicals means doctors get an infinite amount of styptic and silver sulf. Does that not render chemistry useless?

No, it doesn't, because much like the liquid dispenser for the chef, it's simply a QoL addition. Chefs and Doctors will acquire their stuff regardless, the dispenser just makes it easier on everyone involved.