How to Move CAPTCHA to Below Payment Options on Checkout Page in Magento2?

As a continuation of the issue I faced here, I added a more complex version of a captcha from the settings under Customer Configuration

We need to change the placement of the CAPTCHA on checkout because the CAPTCHA currently appears at the top of the page, which is causing bad UX

Here’s the issue:

• Users enter the CAPTCHA first.
• Then, they select the credit card as a payment method.
• Selecting the payment method resets the CAPTCHA, forcing users to enter it again if they even notice it at all.

To improve the user experience, we want the CAPTCHA to appear underneath the payment options. Unfortunately, I can’t find any settings in the admin panel to make this change. Part of the issue might be that we are on Magento version: 2.4.5-p1

Has anyone here encountered this issue before and found a solution?