The analyses of a text #1

Continuing from the end of the main game, Alan finds himself in a https://en.wikipedia.org/wiki/Surrealism version of Bright Falls, and realizes he is being held under Cauldron Lake. Zane directs Alan to follow a signal through a cell phone to focus and guide himself out of "the Dark Place", the realm where the Dark Presence came from and where the written word can become reality. As Alan continues to avoid and defeat various Taken, he encounters several television screens that show a more maniacal version of Alan, ranting about upcoming events, forewarning Alan of what is to come. He also encounters an ethereal version of Barry, a figment of his subconsciousness, who also helps to guide Alan safely across the abstract landscape.

<Of Special One: The Signal in Alan Wake from WikiPedia https://en.wikipedia.org/wiki/Alan_Wake >

I don't know how I should interpret the to-infinitive "to guide" here.

1. I'd like you to help me understand the phrase.

2. And I'd like to know whether "across" is the objective complement of "guide" or something else.

Thank you in advance for your help.