Recaptcha 3 does show on Authentication Popup

Question

Recaptcha v3 invisible does not display on authentication popup and when the login button is clicked it show the error - This is a required. See below.

When I looked at the browser console, I can see the below JS error

Uncaught TypeError: Unable to process binding "afterRender: function(){return renderReCaptcha() }" Message: Cannot read properties of undefined (reading 'rendering') at UiClass.initCaptcha (reCaptcha.js:116:35) at UiClass.renderReCaptcha

This shows that rendering option was not passed to the reCaptcha.js file. See below.

The error occurs here this.settings.rendering since this.settings is undefine.

When I look at the authentication-popup.phtml and print out the value of $block->getJsLayout(), I could see that rendering is passed to Magento_Ui/js/core/app

"#authenticationPopup": {
                "Magento_Ui/js/core/app": <?= /* @noEscape */ $block->getJsLayout() ?>
            }

What I could not figure out is why the rendering disappears when reCaptcha.js is rendered which causes the error above.

I will appreciate any help in solving the issue.