The answer to this question is the second option: People's actions determine their legacy. The excerpt referred here is from Gilgamesh: A New English Version which states:
"Let your heart inspire you
to be joyous in battle, to forget about death.
If we help each other and fight side by side,
we will make a lasting name for ourselves,
we will stamp our fame on men's minds forever."
Based on this excerpt, the theme being presented here clearly represents that whatever your actions may be, most especially if it is inspiring, these actions will become great memories on men and will always be remembered.