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Yes, I suppose. In terms of what's likely, I don't think it's typing will change at all. In terms of what's ideal, I think that fire would be a good typing for it.
Abomasnow only has seven. Seven is the most weaknesses that any Pokemon currently existing has. I think that, but I'm not for certain, that it's the most weaknesses possible for a Pokemon type combination to have.
It happens to all of us though, don't get discouraged by that, even though it is easy to if you keep losing. Try the random battles to hone in on your skills maybe