Fig. A.1

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SPHERE/IRDIS relative astrometry differences of the offset positions of all the point-like sources detected around GJ 422 in both the second and third epochs (2018-01-28 and 2020-01 -18).The expected variation of offset positions, if the companion candidates are stationary background objects are shown in blue solid line. The variation is estimated based on the parallactic and proper motions of the primary star. The five companion candidates are clearly identified as background contaminants. At the bottom-right corner, the insert shows a zoom on the location of the candidates.
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