Let k be an algebraically closed field with characteristic p different from 2. We generalize the notion of a weakly triangular decomposition in [7] to the super case called a super weakly triangular decomposition. We show that the underlying even category of locally finite-dimensional left A-supermodules is an upper finite fully stratified category in the sense of [6, Definition 3.34] if the superalgebra A admits an upper finite super weakly triangular decomposition. In particular, when A is the locally unital superalgebra associated with the cyclotomic oriented Brauer-Clifford supercategory in [1], the Grothendieck group of the category of left A-supermodules admitting finite standard flags has a g-module structure that is isomorphic to the tensor product of an integrable lowest weight and an integrable highest weight g-module, where g is the complex Kac-Moody Lie algebra of type A2ℓ(2) (resp., B∞) if p=2ℓ+1 (resp., p=0).