Is it worth bringing my astro lens?

I have a Sigma 14mm f/1.4 (Sony aIV) that I got recently but I'd also have to backpack it in 8 miles with 2000 feet elevation.

Good news: I will be going to Vogelsang Lake in Yosemite and Milky Way is expected to be right in between the two mountain peaks (SouthEast) that loom over the lake.

Bad news: Last light is supposed to be 9pm. Full moon (one day past technically) is supposed to be right below the horizon and rise above the horizon by 10pm.

Will the light pollution from the lake make the milky way not photographable? Any advice appreciated. Thanks!