Your levelized cost includes constructing new nuclear plants and does not take into account the actual production cost of an existing nuclear plant. In other words, you googled and copy pasted the first thing you could find that had a number attached to it with no idea what the number meant. You will not find any actual production cost numbers for running nuke plants because it is protected information that is not available to the public.
All you've proven is the cost to build solar is cheaper, and I've never disputed that fact. However, in the long run, nukes, especially those already built will win because they make a crap load of megawatt-hrs in a short period of time.