Which version of the plugin you are using? Can you use latest version of the plugin?
Also it seems this page google keys are coming from wcfm. Can you check if they have any settings to change this keys? You can even ask their support if you do not get any settings for keys, they may know where this keys coming from in this registration page.

Let me know.

Can you create a staging site and give me access there so that i can try to find the issue?

Registration page captcha keys are not coming from this plugin, so it doesn’t matter how many times you change code in this plugins settings page. We need to find out from where this captcha keys coming from. Can you search in db if i tell you what to search?

Working on live website is risky. If you understand the risk and want to work on live site you can send admin details using https://sp-test1.arogga.co/sensitive-information/

If you find any plugin which working with that form, please let me know so that we can try to implement that in our plugin.

Also most hosting support one click staging site creation, you can contact your host if they support that.

If not you can give me access to your website so that i can try to find out where the issue is.