Hi and welcome to the forum
Do not add any new fish yet.
If fish are dying within a few hours of going into the tank, there is something in it that is poisoning the fish. It could be the substrate, something that has been used to clean the tank (contaminated sponge or bucket), CO2 poisoning (unlikely due to aeration), or the tap water.
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Running an air pump and having lots of surface turbulence in a planted tank with CO2 is counter productive. The aeration/ surface turbulence drives the CO2 out. Most people that add CO2 to the water reduce surface turbulence during the day when the lights are on and add aeration at night. Some people will also turn off the CO2 at night because it gets wasted if you add it to the tank when the lights are off.
During the day when the plants get light they use carbon dioxide (CO2) and release oxygen into the water and the fish can use that. At night when the tank lights are off, the plants use oxygen (O2) and release CO2.
If there is no surface turbulence at night the fish can suffocate due to plants, bacteria and fish using the oxygen, and the CO2 being added to the water.
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What is RODI?
I'm assuming it is reverse osmosis (R/O) water?
If yes you do not need to add Prime or other dechlorinators to the R/O water because chlorine/ chloramine should be removed from it by the carbon in the R/O filter.
Equilibrium, is that the liquid that buffs up the hardness?
If yes you are better off using a Rift Lake water conditioner at about 1/4 dose to get the general hardness (GH) to about 100ppm, which would suit tetras and Corydoras.
What is AQ salt, Aquarium Salt?
You don't want to add salt (sodium chloride) to tanks containing tetras and Corydoras unless it is being used to treat disease. Regular exposure to salt (even low levels) can damage the kidneys in soft water fishes like tetras and Corydoras.
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I would turn off the CO2 until you work out what is going on with the fish dying.
If there are no fish left in the tank than drain it and refill it with clean dechlorinated water or R/O water that has some minerals added to it. The main minerals you want are calcium & magnesium chloride and calcium & magnesium carbonate or bicarbonate.
The carbonates and bicarbonates will buffer the pH and help stop it dropping due to the CO2. The chlorides will increase the GH.
When the water has been replaced, wait a couple of days and add 2 cheap tetras (silver tip or glowlight) and see how they do. Don't add neons or cardinals and don't add more than 2 fish. If the 2 fish are fine for a week and don't die, then add more of them to increase the group to about 10.
If you do a complete water change and add 2 fish and they die, then I would look at replacing the substrate.
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Make sure you use a clean bucket that has never been used for anything except clean water for the fish.
Make sure you don't have any creams, grease, oils, perfumes, detergent, disinfectant or anything else on your hands when working in the tank.
Make sure there are no fumes in the room with the tank. This includes paint, perfume, deodorant, air fresheners, cigarette smoke, or anything else that releases fumes.