I've never seen a separate drink station at cosmic rays...with that being said I'd imagine you'd have to ask at the counter. Might be a good idea to bring your receipt with you just in case they ask.
The last time we ate there I just went up to the counter and asked for a refill.
The Cast Member did it with a smile
Now, it may just be I got a nice CM who did it for me but I have to beleive that if you go up to any QS with your cup and ask for a refill they will do it.
I had my receipt with me that showed I bought a soda a few minutes earlier just in case they questioned me - but no one did. I would advise having your receipt.
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