With GDAL 3.0.2 gdalwarp works for me with command
gdalwarp test.tif out.tif -cutline cutline.shp
where cutline.shp contains your polygon
POLYGON (( -1406502.73228006 6411785.18363632, -1406502.71096238 6411785.34556016, -1406464.54800294 6411991.25446327, -1406415.66090516 6412194.88388041, -1406356.18366518 6412395.6756775, -1406286.27930599 6412593.07949818, -1406206.13943057 6412786.5542723, -1406115.98369675 6412975.56969896, -1406016.05921514 6413159.6077, -1405906.63987178 6413338.16384006, -1405788.0255775 6413510.74870917, -1405725.47457797 6413592.26675885, -1405716.05921514 6413609.6077, -1405606.63987178 6413788.16384006, -1405488.0255775 6413960.74870917, -1405360.54144583 6414126.8892642, -1405224.53690191 6414286.13012544, -1405080.38472475 6414438.03482475, -1405050.38472475 6414468.03482475, -1404898.48002544 6414612.18700191, -1404739.2391642 6414748.19154583, -1404593.2459549 6414860.21607539, -1404538.48002544 6414912.18700191, -1404379.2391642 6415048.19154583, -1404213.09860917 6415175.6756775, -1404040.51374006 6415294.28997178, -1403861.9576 6415403.70931514, -1403837.68032092 6415416.89080218, 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gdalwarp test.tif out.tif -cutline cutline.shp
. I did not get any errors. GDAL version is 3.0.2.