Constant error 2002 and unable to connect to game since mid March

[A_Asterius]

Hello! Same error here since today.
I still have game time (23 days), and everything was OK until today.
I can log into my account and click PLAY on the launcher.
Once the game is launched, when I choose the "PLAY" option, I have the message "connecting to the data center...", then after a minute, the error 2002: "The data-center connection has encountered an error." and I can only close the game.


What I tried:
Checking my connection speed; in Wi-Fi and in Ethernet, everything is OK. Any other app using internet connection works properly.
Authorizing FFXIV in my firewall: it already was the case
Emptying the DNS cache with the /flushdns command
Changing my DNS
Moving from Wi-Fi to Ethernet
moving from Chaos to Light: I have no issues connecting to Light (though I have no character on it and I'd like to not have to create a character to play just due to this bug). When I come back to Chaos, the bug is back.
Restarting my PC.
Closing any other game firewall (Riot Games' one, for example).



I opened a support ticket because I have no idea what I could do to fix this now.
I am on Windows 11, if that changes anything.


UPDATE!
I tried to create a character on Light - since it's the only datacenter which works there - and to make her travel to a Chaos server. The transfer has been done within 30sec, but now it is impossible to play with her! The error 2002 comes back and I can't send her back to her home world on Light. In the end I can't do anything *sobs*
Screenshot: https://zupimages.net/viewer.php?id=23/26/2lcl.png

Updated my firmware, it worked ONCE but I got another error when I clicked on my character. Error 10105. And now error 2002 is back.