Final answer:
Paris, Hector's brother, does not have a specific plan to get Athena's help in the context of the Trojan War according to classical sources. Athena generally favored the Greeks, not the Trojans, during the conflict.
Step-by-step explanation:
The question pertains to a plan devised by Hector's brother in the context of the Trojan War, a legendary conflict between the ancient Greeks and Trojans, which is a subject of Greek mythology and literature. Hector is a prominent Trojan prince and warrior, and his brother refers to Paris, also known as Alexander, who is infamous for abducting Helen, leading to the Trojan War. In the Iliad and other sources of Greek mythology, Paris does not formulate a plan to get Athena's help specifically, as Athena was generally on the Greek side during the Trojan War. The provided text does not offer details of such a specific plan by Hector's brother to enlist Athena's aid. Instead, it mentions actions of other characters and events, such as the priest Laocoon's warning about the Trojan Horse and the Greek general Themistocles building a navy to combat the Persians, which are not directly related to the question asked.