I get you now, but no, the Hydra doesn't drop it but that is the other way into the forest.
I recommend going through the gateside, it's loads of fun.
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"I'm staunchly atheist, I simply don’t believe in God. But I'm still Catholic, of course. Catholicism has a much broader reach than just the religion. I'm technically Catholic, it's the box you have to tick on the census form: 'Don't believe in God, but I do still hate Rangers..'"