wrote in message

Is the charcoal ash from my grill beneficial in my compost pile or
should I leave it out? The charcoal I use says it's made from 100%
oak wood.

I'd leave it out. In the 'olden days', before the advent of cheaply
available garden chemicals that come in a plastic bag, all gardeners used
naturally occurring products. These products included animal poop and ashes
from wood burning open fires and kitchen ranges.

The practice was to save the ashes over winter, to sieve out any large
'klinkers' (charcoal) and then in Spring the ashes were spread lightly
around the garden. It has a sweetening effect on the soil ie, its similar
in action to garden lime. Spread it thinly like icing sugar (I think this
is called confectioners sugar in the US).

The klinkers were pounded up until very fine because these are what is known
as biochar and this was then also spread around the garden.

I do this each year with the ashes from my fires.