We present full-polarization observations at mm (345 GHz) conducted with the Atacama Large Millimeter/submillimeter Array (ALMA) toward Messier 87 (M87) and seven other radio-loud active galactic nuclei (AGN). We determine polarization and Faraday properties of the targets, with linear polarization (LP) fractions spanning 1% to 17%, and Faraday rotation measures (RMs) exceeding rad m. These RM values, 1-2 orders of magnitude higher than typically observed at mm, suggest denser Faraday screens or stronger magnetic fields in the (sub)millimeter emission regions. Additionally, we present the first submillimeter polarized images of the M87 jet and the observed AGN. In the M87 jet, we identify RM gradients and sign reversals, suggestive of a helical magnetic field structure extending over kiloparsec scales. These observations were part of the ALMA Band~7 Very Long Baseline Interferometry (VLBI) commissioning during the April 2021 Event Horizon Telescope (EHT) campaign. The results provide essential constraints for calibrating, analyzing, and interpreting VLBI data from the EHT at 345 GHz, representing a critical step toward submillimeter VLBI imaging.

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