https://www.sciencedirect.com/science/article/pii/S173857331...
Nuclear also competes with fossil fuel powerplants that capture carbon. There are many options such as: (1) turn the fuel to hydrogen and burn the hydrogen, (2) run the exhaust gas through an amine stripper, (3) burn the fuel in pure oxygen so the amine stripper has less work to do (recycle the combustion products so the turbine doesn't burn up), (4) chemical looping combustion that uses a metal like iron as an oxygen carrier, etc.
The cost of something like that doesn't look crazy, optimizing it is a job for the systems engineering department, you can compress the CO2 to 1500 psi and inject it into saline aquifers which exist in most places. (Drives me nuts that carbfix gets so much press for a process which only works in a few places and consumes much more water than the carbon it captures)
It is not happening because regulators aren't forcing it, there is no carbon tax or carbon credit for it.
You could save the world with a nuclear option that is truly cheaper than the alternatives without subsidy. Anything that involves subsidy is going to give somebody an opportunity to get rich by siphoning off 5% of the credits and keep the gravy train running by paying 1% of that to politicians. Anything like that will run into intense opposition, look like a scam to people, probably be a scam in many cases (extortion like "we'll cut down this forest if you don't pay us" and then the forest gets cut down or burned anyway, unverifiable schemes like grinding up rocks and leaving them at the beach, ...) damage the legitimacy of the government and delay real solutions.