Final answer:
The provided excerpts do not contain the information necessary to directly answer the question about what Bearse asks Fuller to do to prove he isn't afraid of Susanna. The texts focus on internal conflicts and moral dilemmas, illustrating character development, but lack the specific context needed for this query.
Step-by-step explanation:
Based on the excerpts provided, the focus of this question seems to be a character's struggle with personal issues, specifically around the themes of judgment, temptation, and how these themes affect their interactions with others. However, the specific part of the narrative where Bearse asks Fuller to prove that he isn't afraid of Susanna does not appear to be included in the given excerpts. The excerpts provided are rich in character development and introspection but do not directly answer the student's question regarding Bearse's challenge to Fuller.
It is possible that this is from a broader literary work, and the challenge posed by Bearse to Fuller regarding Susanna may be found in a different section of the text. Therefore, without the necessary context or passage, we cannot give an accurate description of what Bearse asks Fuller to do. Nevertheless, it is clear from the provided information that the story deals heavily with internal conflicts and moral dilemmas the characters face, often reflecting on their actions and thoughts in a nuanced way.