The amplification should go at the end of the conclusion. In theory, you have spent the three previous paragraphs proving your point and now, with the amplification, you're "making it bigger" by going beyond your proofs to show how someone else can benefit from this argument. Some essay writing models use the "funnel" technique to show that the introduction starts with a big funnel and getsnarrower until it ends with the thesis. The conclusion does this in reverse by restating the points and then "widening" to show how it matters to abroader spectrum.
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