Hi @l4wrion 
When you sign up for ChatGPT using the “Continue with Google” option, your account is linked directly to your Google credentials.
This means that ChatGPT doesn’t store a separate password for your account; instead, it relies on Google’s authentication.
Trying to reset your password through ChatGPT won’t work because there’s no ChatGPT-specific password to reset.
Although you will see “Check Your Email” screen, you will not receive a link to recover or change the password, unfortunately.
You can read the HELP page the last paragraph after number 5.
Also you can visit this TOPIC