In this case, both subject teachers decided that they wanted to work on argumentation in their respective subjects alone first, but sharing a common framework. Later, they co-set and co-graded an assignment that had relevance to both subjects.
The framework they chose to work with was PEE (Point-Evidence-Explanation) because this would have utility for other subjects.
The teachers used their understanding of the Claim-Evidence-Warrant structure from the workshops to emphasise what students needed to address in the the PEE framework, where Claim ≈ Point, and Explanation ≈ Warrant.