My elder child name is Julie. Jule is nice, charming and naughty girl.
My question is: girl is a countable noun, but I have not written any article and I'm trying to use girl as a mass noun. Is the above sentence correct?
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Girl is used as a count noun. See Cambridge dictionary.
You can use girl as a "mass noun" if you want, but you would be using it differently from how it is used 99.9% of the time. (And I put mass noun in quotation marks, because I'm not sure such a noun as girl "becomes" a mass noun simply because one doesn't use an article. Using girl this way could be considered a count noun with article omission.)
You could say
I am girl, hear me meow for instance, as a parody of the song I am woman (hear me roar) but unless you are Shakespeare or Helen Reddy, I wouldn't recommend it.