Save your pennies until you get a better idea of what you want/don't want in your sound as well as what you like and don't like about your Squier (love that bass, btw!). You can cover quite the tonal spread with your P/J already and it is certainly easier and much less expensive to just change your strings and try different types (flats, rounds, nickels, tapewounds, etc) versus buying an additional bass for that reason.
With that said, there ain't nuthin' wrong with having a couple sub $300 basses to play if you find yourself longing for something, well, different, or you play a broad variety of music and it's not practical to change strings out all the time. While mine have all been purchased for less than $300, I've spent way too much upgrading components knowing I'll never be able to sell them for more than what they are going for, but every single one of them gets gigged regularly and every single one of them accomplishes a sound/style I was looking for. My fretless jazz and my headless Steinberger copy are not pictured here but they also cost less than $300 and provide a tonal or practical option these do not provide.
The most important thing is to keep playing and learning. You'll figure out what you like/don't like and that's when you'll have the insight to buy what you want versus buying something you
think you'll like.
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