Harav Mordechai Genuth Shlita Mechaber Sefer Luach Dovor Beito writes that he investigated and asked
Yidden originating from Riminov and none of them ever heard of this Minhag (Tuesday Beshalach)
He also claims that the Sefer Yalkut Menachem which has all the Divrei Torah etc. from R. Mendel Miriminov
there is no mention of this Minhag.
He, therefore, assumes that it’s likely that it does not originate from R.M. Miriminov.
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