Transparent Proxy for e-book Amazon Kindle?

Question

proxy

Good afternoon. The 4th generation Amazon Kindle has a built-in browser. Unfortunately it doesn't fully support http s . I mean, some sites open and some don't. The reason is definitely not related to Wi-Fi, signal strength and other things. The point is that modern encryption is not supported. For example, the site vasylenko.pp.ua . Also, you cannot specify a Proxy in the Device Settings.
It follows from all this that I need some kind of transparent proxy on the network, which would become an intermediary between the book and the site. I would be grateful for any links to documentation, manuals and tutorials.