"Are you saying I have to break the core?"
[That's right.]
The miniature creature, resembling the eight-headed and eight-tailed silver snake, boldly explained its weakness.
[All of my power originates from there. The core hidden deep within me is the source of my power. If you destroy the core, which is connected to my subconscious and my self, you can kill me.]
In other words, its weakness wasn't in the real world, but in the world of the mind.
'Is this similar to what happened with Lilith?'
Since the core, which could be considered its true form, wasn't in the real world, no matter how many attacks were thrown, they were useless.