Wow. I was just thinking of the size of a 'fridge I'd need to refrigerate the volume of sugar syrup I make, when I make it!
First, I don't refrigerate my sugar syrup. I've personally had no problems with fermentation after storing it for a month or two. So, putting it in your fridge, you should be fine for a mere week.
Secondly, if I know (or suspect) that I'll storing the syrup for an extended period of time, I'll add (homemade) Honey-B-Healthy to it. After 6 months or more of storage, I've encountered no fermentation. To my recollection, I've never stored syrup for longer than than.
Lastly, fermentation (a beer or a vinegar smell) is what you're trying to avoid. Mold isn't a problem for the bees. It just looks bad (to us). The bees take it just fine.
The day I bought my first hives, the guy I bought extra supers off of gave me 5 gallons of syrup leftover from when he had bee. It was in a water tank on a trailer and he had not had bees for 2 years, There were strings of black mold floating in it but bees ate that about 1/2 to 3/4 a gallon per day with no issues. I have also bought from the local bee store and that stuff crystalized in the pail in a matter of month or so. the bees don't care.....
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