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(Optimization 71(11):3363\u20133381, 2022, <jats:ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" ext-link-type=\"doi\" xlink:href=\"10.1080\/02331934.2022.2101111\">https:\/\/doi.org\/10.1080\/02331934.2022.2101111<\/jats:ext-link>) to cover the case where the moving set may be nonsmooth. Noteworthy, we consider problems with constrained end point. A remarkable feature of our work is that we rely upon an ingenious smooth approximating family of standard differential equations in the vein of that used in de Pinho et al. 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