In a related note to the above posts about inorganic sources of CO2 for the edification of dohboi and others who may be interested. In America we get our industrial 'soda ash' the foundation ingredient for Baking Soda and dozens of industrial processes like glass making and laundry detergent amongst many others from mining large deposits of Trona ore discovered in Wyoming in the mid 20th century. Several other deposits of economic value are mined around the world including three in Africa, but outside of the USA and locations in Africa where the ore is plentiful most industrial Soda Ash is manufactured.
In fact before the huge deposits in Wyoming and Utah became industrial mine sites most of the Soda Ash used in the USA was also industrially manufactured in Solvay, New York. The city of Solvay, New York was founded and built around plants using the Solvay process which takes saltwater and limestone with an Ammonia catalyst and converts it into Soda Ash and Calcium Chloride by chemically shifting the CO2 in the limestone to the Sodium in the salt and shifting the Chlorine from the salt to the Calcium from the limestone. Here in the colder regions of the country Calcium Chloride is beloved by many homeowners because it melts snow and ice at much colder temperatures than Sodium Chloride aka Rock salt aka Table salt. It also has advantages in that it doesn't cause environmental damage to most plants, has a very low corrosion rate compared to rock salt and does little damage to concrete in your sidewalks or driveway. The only catch is, because almost all of it is a manufactured chemical it is more expensive than rock salt which is abundantly available.
So anyhow the point of this little story is, because of the Solvay process invented about 170 years ago which is used most places with industries needing Soda Ash and Portland Cement which has been going on nearly as long and Lime Mortar manufacturing that that was invented in the ancient world about 3000 ybp there has been a lot of 'inorganic' CO2 released by humans that was never fossil fuel. To be fair all the Portland Cement and Mortar and Soda Ash made in the last 200 years is the vast bulk of the inorganic carbon humans have released, the mortar manufactured in ancient Rome and China through say 1800 isn't even a blip on the line in the scale of things. Also the inorganic carbon released might be classified as 'temporary' because for example if you have a lake that is acidic from CO2 building up in the surface waters you can scatter some Calcium Chloride in the waters and it will reform Calcium Carbonate out of the dissolved Calcium and CO2 that will deposit as a mineral layer on the bottom of the lake. Mortar and Concrete also slowly absorb CO2 from the air until they are saturated with Calcium Carbonate crystals as well.
The only reason it matters at all is the inorganic CO2 has a slightly higher Carbon 13 ratio than organic when those carbonates were formed in ocean waters. If they were formed in freshwater lakes the signature is almost the same as that of organic CO2 sources. Before that makes things seem simple, most calcium carbonate was formed in ocean waters simply because oceans make up the very vast percentage of all water on the planet.
I should be able to change a diaper, plan an invasion, butcher a hog, design a building, write, balance accounts, build a wall, comfort the dying, take orders, give orders, cooperate, act alone, solve equations, pitch manure, program a computer, cook, fight efficiently, die gallantly. Specialization is for insects.