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Scattering from a dielectric nanowire coated by helical graphene strips (nanoribbons) is investigated for a dual-polarized wave at oblique incidence. In the long-wavelength approximation, the helical strips are treated as a homogeneous layer with averaged tensor conductivity. It is shown that the performance of well-known surface cloaks in the form of graphene monolayer, axial, and azimuthal graphene strips can be deteriorated in a wide range of incidence angles. To overcome this problem, helical graphene strips are proposed as an advanced metasurface for dual-polarized all-angle cloaking of the dielectric nanowire in the terahertz band. It is found that such metasurface suppresses scattering from the nanowire more efficiently as compared to graphene monolayer, regardless of the angle of wave incidence. Moreover, dual-polarized all-angle cloaking of the dielectric nanowire can be broadly tuned in frequency with parameters of helical graphene strips