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If you play a 1st-level pregen, you can assign the chronicle (and immediately apply it) to a 1st-level PFS PC.
If you play a 4th-level or 7th-level pregen, you can assign the chronicle to a PFS PC of a lower level than the pregen, to be applied as soon as the PC reaches the level of the pregen (or you can apply it to a 1st-level PFS PC immediately with the gold reward reduced to 500gp).
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So in your case, the pregen credit for 'In Service to Lore' must be assigned to a 1st-level PC.