I am in the same exact situation, and wanted to reply to everyone commenting suggestions that are super obvious. This isn't something we can fix, we've tried literally everything. What we need is the ability to contact facebook without having to be logged in, because that's the issue - we can't login. A direct contact at facebook can send new codes to use for 2FA that will get us logged in - without some way to access codes apart from being logged into facebook and using the code generator, or having the code texted (because that's not working) - there is nothing we can do. There isn't a FB help page, there isn't a point of contact, we are literally screwed unless someone who was in this exact situation and figured it out helps, or we get a contact within fb.
I am a social media director who is over a team that manages 30 facebook pages. We spend thousands on ads. I have been on facebook since 2004, i am not an amateur, this is literally part of my career. I was able to get a human through the Meta business manager, but they said they can not help with personal pages. My only remaining options is to buy an oculus because they have access to customer service, or i have been adding meta employees on linkedin hoping to connect with someone internally who can help. My point is that this is absolutely insane, and i personally believe will be the end of facebook. 10 years from now, we will either not use facebook the same way, or we will have totally moved on. The lack of customer support has a ripple effect, especially when it's tied to money. Today, we have no other options, but I look forward to what's next and the day facebook becomes irrelevant. The TLDR of this is Karma will catch up, but in the meantime anyone who has advanced experience, please help!