I would not touch it with superglue! If you repair it yourself, as you can read in the online terms, the LV store can refuse to repair it.
And, if you're bag is only a few months old, you probably wouldn't have to pay anything! Before you decide to do anything, go to the LV store and ask for information. And if you know how long it's gonna take and how much it will cost (hopefully it will be for free), then you can decide what to do.