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I'm not sure extra space after a period is a convention in TeX, meaning it is added only when required by aligning text, not after every period.

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Not sure if you mean if it's convention to put an extra space in the source input or the rendered output, but 'extra space' (as opposed "an extra space character") is definitely rendered in the output.

AFAIK it is indeed a convention in TeX, and LaTeX. See https://tex.stackexchange.com/tags/frenchspacing/info

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