I get logged out of my wordpress while editing instead of just the site

Hi,
I am Sagar Malaviya.

I am working on a E-Commerce website through Woocommerce and a custom VW Theme Pro.
Login page and Registeration page comes through woocommerce by enabling them in settings of woocommerce.

Now while editing the website through customizer. I want to edit my login page but by default the customizer shows the ‘logged in’ with the option to ‘logout’ page (like this – https://drive.google.com/file/d/1rK51Ms4F2dlOCoJPucL-4jXH8Z6R5LzD/view?usp=sharing )

However, when I click on ‘logout’ in the site while customizing. I get logged out the ‘WordPress’ ( like this – https://drive.google.com/file/d/1ts1ZWI2ugHAhyLCaS5ubPDWJjBo8KQhv/view?usp=sharing ). And when I login again I come up on the same page where it tells me to logout again.

So, I cannot see the login page while customizing in any way. (like this – https://drive.google.com/file/d/1FFSN69rYVJc1G71jk8R_ZEW9-he1lmoX/view?usp=sharing )

Kindly, help me on the above issue. I searched everywhere pn the internet.

My site is perfectly working independently. But, i want to customize the Login | Register page (Both on the same page) which i am not able to see while in customizer.

The page I need help with: [log in to see the link]