An overwhelming majority of what we eat is made from plants and animals. This means that composition of our almost entire food is chemicals from the realm of organic chemistry (carbon-based large molecules). Water and salt are two prominent examples of non-organic foodstuffs - which come from the realm of inorganic chemistry. Beside some medicines is there any more non-organic foods? Can we eat rocks, salts, metals, oxides… and I just don’t know that?
Synthetic or not has nothing to do with whether something is organic or inorganic. That used to be the distinction 200(?) years ago, it is a bit outdated now.