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A modal dependency structure represents a web of connections between events and sources of information in a document that allows for tracing of who-said-what with what levels of certainty, thereby establishing factuality in an event-centric approach. Obtaining such graphs defines the task of modal dependency parsing, which involves event and source identification along with the modal relations between them. In this paper, we propose a simple yet effective solution based on biaffine attention that specifically optimizes against the domain-specific challenges of modal dependency parsing by integrating self-loop. We show that our approach, when coupled with data augmentation by leveraging the Large Language Models to translate annotations from one language to another, outperforms the previous state-of-the-art on English and Chinese datasets by 2% and 4% respectively.