How does Hamilton decide to save his reputation?

When? There are many times he does this, but a major time is when he writes the Reynolds Pamphlet to confess his errors and beg for mercy, but this results in a destroyed relationship with his wife, Elizabeth Schuyler.

Explanation:

However, his own reputation is partially saved, since he was no longer accused of stealing the government funds.

allusion   is the right answer

the answer should be:

the intervention of the supernatural gives gilgamesh hope that he will defeat humbaba.