  Color-kinematics duality in the adjoint has proven key to the relationship
between gauge and gravity theory scattering amplitude predictions. In recent
work, we demonstrated that at four-point tree-level, a small number of
color-dual EFT building blocks could encode all higher-derivative single-trace
massless corrections to gauge and gravity theories compatible with adjoint
double-copy. One critical aspect was the trivialization of building
higher-derivative color-weights -- indeed, it is the mixing of kinematics with
non-adjoint-type color-weights (like the permutation-invariant d^4) which
permits description via adjoint double-copy. Here we find that such ideas
clarify the predictions of local five-point higher-dimensional operators as
well. We demonstrate how a single scalar building block can be combined with
color structures to build higher-derivative color factors that generate,
through double copy, the predictions of higher-derivative gauge-theory
operators. These may then be suitably mapped, through another double-copy, to
higher-derivative corrections in gravity.
