Default [Q] How can I connect youtube application on https?

So my government only allows youtube to be viewed on https connection, but the problem is that I don't know how to use this secure connection on android device. The youtube app currently displays thumbnails and all other data but it fails to load video, because apparently it is trying to load it via an http connection. On desktop computers, www.youtube.com will redirect to a page which says that it's blocked but https://www.youtube.com/ opens and streams just fine. Please help me because all the VPNs either don't work at all or they give very low speeds.

I have rooted, so I can try a root-only method too, if that's available.
Nokia 5320 --> Nokia 5800 --> Nokia 500 --> HTC Sensation --> Samsung Note N7000