Layman question regarding graphite and it's role in batteries

I understand that graphite is commonly used in batteries but what I'm not
too sure about is the role of the layers in graphite in this regard.

So a graphite flake could be 200 nanometres in height and composed of
dozens of layers of hexagonally structured 2d carbon plates, alternatively it
could also be 2.88 nanometres in height and composed of just 5 layers.

Flakes with a height of 2.88 nanometres should be dramatically
less electrically resistant yet more thermally conductive. However
is there a role that the layers are playing that would make it
more attractive to use more layers than fewer that I don't
understand or know about?

I did ask AI this question and it did provide a set of responses
some of which were highly dubious though it did point out
that 'Cycle Life' may be a factor in explaining why one
would choose graphite consisting of more layers.