#1: Don't sign-in/use google services.
#2: Do note, they want 'a' birthday. Why would you ever consider giving them a real anything? Online services that 'demand' unnecessary metadata, where you decide to give metadata to continue to use them as opposed to dropping them, *always* get fake metadata.
Years ago the washington post used to demand some unnecessary metadata to read articles. I was a 98 year old from Mongolia one day, a 65 year old Peruvian for the next, and the answers were different, and fake, every time (I'd clear their cookie immediately to trigger another 'ask' for the next time I would click on a link to them).