If you want to use the larger files with posterior draws to fully incorporate measurement error in your analyses, see this explainer of the "method of composition" (essentially you bootstrap your model over the posterior draws).

See https://www.cambridge.org/core/journals/american-political-science-review/article/democracy-public-support-and-measurement-uncertainty/621616CF93D45E659B758F8C3F3B0C3D for a review of this technique

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