As a result of special deformations of free gauge models of massless spin 3,
massive vector and real scalar fields, quintic vertices within new approach
(Buchbinder and Lavrov in JHEP 06: 097, 2021; Buchbinder and Lavrov in Eur.
Phys. J. C 81:856, 2021; Lavrov in Eur. Phys. J. C 82:429, 2022) are
constructed. They are described by local functionals which are invariant under
original gauge transformations.

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