I don't if there a way to cross the Bridge using Muni pass Check on this website https://www.sfmta.com
Yes, on bus line 76 (but only on Saturdays, Sundays and holidays): https://www.sfmta.com/sites/default/files/routemaps/76x%20Marin%20Headlands%20Express.pdf
I don't understand your question .
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