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?
Calcium carbonate is inorganic because it is a simple salt. Containing hydrogen has nothing to do with it. Ca(HCO3)2 is just as inorganic.
If you think a molecule needs to contain both H and C to be organic, then fully halogenated propane is inorganic, but as soon as one of the 8 halogen atoms is not substituted it suddenly is organic again. This gets even more absurd with larger molecules like oleic acid C18H34O2. 34 chlorine replacing all H? Inorganic. 33? Organic.