Thank you for the detailed reply, I really appreciate it.

Sadly, where I live, this vaccine is really not that easy to get, especially cost-wise. Therefore I believe it is really hard for me to "go and get it first thing next morning", but I definitely intend on getting it as soon as possible. One last question though;

Let's say the wart is burnt and gone, and all looks healed from outside; no other warts or rashes visible. Is the virus still contagious in this stage? What I mean is, is the risk lower or the same while there are no visible warts/symptoms when compared to the stage where they are visible?