Abstract We study various duality webs involving the 3d FT[SU(N)] theory. a close relative of the T[SU(N)] quiver tail. We first map the partition functions of FT[SU(N)] and its 3d spectral dual to a pair of spectral dual q-Toda conformal blocks. Then we show how to obtain the FT[SU(N)] partition function by Higgsing a 5d linear quiver gauge theory. https://www.ournewbabyinc.shop/product-category/bibs/