Hi Animeboy1984
Welcome to Microsoft Community.
I understand that your account is under threat from hackers and you want to change your account password. I understand very well how you feel, it has happened to me too.
Come on let's protect your account together.
According to your description, you have two-factor authentication turned on for your account, so you must have multiple authentication methods set up for your account, is it mobile, email and authenticator? But it sounds like your authenticator is currently unavailable, so the only options available are mobile and email right?
The fact that you're receiving SMS and email verification codes is good news, it means that the verification methods you've set up are still associated with your account. However, the frequent ‘No match, try again’ errors are very strange. Have you clicked Send Captcha more than once, incorrectly using the first Captcha that was sent instead of the latest one? If not, then maybe your account is being requested to send CAPTCHA frequently elsewhere.
For your account, please click on the Microsoft Account Management page and try resetting your password again.
If you encounter the alert, ‘The current method is not available, please change the authentication method’, it is recommended that you change to another device to reset your account password. This morning when I used my computer to visit the Microsoft account management page to verify, I also encountered this error, so I changed the mobile browser, using traffic to visit the page, the result is normal, which is really very frustrating. Here are some suggestions:
1、You can change the network environment of the device that sends verification code and receives verification code such as (such as wi-fi, mobile phone hotspot)
2、I suggest you use the privacy mode of your browser to send the security verification code.
3、You can replace the kernel of a different browser to re-send the code (such as edge browser replaced by Firefox)
4、Check the spam file box in your mailbox/Phone, the security verification code may be wrongly identified as spam, please confirm it in the spam mail.
I hope that my reply has been helpful to you. If you have any other questions, reply to me at the bottom of this post at any time.
Best wishes
Forry.F - MSFT | Microsoft Community Support Specialist