Locked out — security key + password issue, no self-service option working

Hi, hoping a moderator can help or point me in the right direction.

I lost my old iPhone, which had my SWTOR Security Key authenticator app on it. I also couldn't remember my password, so I've been trying every self-service option I can find, but I'm stuck in a loop:

• Password reset on account.swtor.com: goes through the "forgot password" flow, but the final step to set a new password asks for the Security Key code before it'll complete — which I don't have.
• "Lost your Security Key?" link: this option does not appear for my account when I try to log in with the key field left blank. I just get a login failure instead.
• EA account password: I was able to log into my linked EA account and change the password there, but this did not sync to my SWTOR login — I still get "Login failed" using my SWTOR display name with the new EA password.

My account was created in 2015. I still have full access to the email address on file.

Since none of the self-service paths are working, is there anything that can be done to remove the Security Key and/or reset the SWTOR-side password directly? Happy to verify ownership however's needed — just want to avoid a phone call if at all possible.

Thanks for any help.