It does look like blight to me but if not it’s likely disease of some kind so I would treat it the same. Carefully remove the affected areas and put them in the trash. Isolate the affected plant if you can. Continue with regular care
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Some plants exhibit a purplish color if the temperatures dip and it produced anthocyanins, I believe nightshades are capable of this.
A reddish purplish hue can also come from too much of a particular wavelength of light as well.
My first thought was cold damage. That's how my tomatoes look when the temps start dropping at night.
Hard to tell from the picture, but it looks like the tomatoes leaves are going purple too, not just the stem, that’s what lead me to that option.
The plants I deal with don’t express as dots though, so shrug.
Thanks for the quick responses, y'all. Here's another picture with more to look at- the entire stem is darkening but notice that it's worst at the top right shoot.
Blossom end rot? Hit it with some liquid cal-mag.