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Let $(R,\mathfrak{m},\Bbbk)$ be a regular local ring of dimension 3. Let be a Gorenstein ideal of of grade 3. It follows from a result of Buchsbaum and Eisenbud that there is a skew-symmetric matrix of odd size such that is generated by the sub-maximal pfaffians of this matrix. Let be the ideal obtained by multiplying some of the pfaffian generators of by ; we say that is a trimming of . In a previous work, the first author and A. Hardesty constructed an explicit free resolution of and computed a DG algebra structure on this resolution. They utilized these products to analyze the Tor algebra of such trimmed ideals. Missing from their result was the case where is five generated. In this paper we address this case.