As already noted, that browser update message is complete and total bull****.
Legit updates on iOS / Apple products will always be in the form of a system message.
Stuff like that is how people get their accounts compromised.
Here's a fun thing to try, you'll be shown 10 emails and need to decide which are fake and which are real.
It's not always obvious what is and what isn't which is why your default should be to treat everything as a scam.
See how well you do and report back.
https://www.phishingbox.com/phishing-iq-test