machine-built wheels are fine although typically I'd rather have a human mechanic "top it off" by optimizing true/tension. I'd consider this "mostly-machine-assembled."
as BCRider says, don't get a new wheel, just replace the spoke and get the tension optimized by the mechanic. will cost you a lot less.
While $200 hand-built wheels are certainly nice, I don't think you need it.
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"c" is not a unit that measures tire width