I used to have binance issues when I first started using them. You have to use Google chrome because using Microsoft Edge just doesn't cut it -- too many errors. It seems the site, like most sites, is only fully compatible with Chrome.
Sometimes, too, your Google 2fa is wrong or you're just a couple o seconds behind the new code. That plays a huge role. And sometimes the 2fa just fails for no reason at all
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If you're still having issues, try these tricks. Thanks to OP for figuring out that you also need to clear your browser's cache.
If you had read out the recent update of OP it do already mentioned that he do already have access to the site.
Actually i had experienced that downtime,we dont know what actually happen since binance didnt make any announcement towards that downtime but well its not already an issue since we do have already the access as of now.