So, these scenes are from a Russian animated movie named (translated) Ruslan and Ludmila: More Than a Fairytale. This movie is actually set to get an English release later this month, renamed to "Rebellious". I'm unsure if it is simply a dub or a rewrite/re-edit, hence I've included both names in the tags. I don't know the character's names in this or the Rebellious version (I think the princess is Ludmila in the original and Mina in Rebellious?), so I'm just putting a character request there for now.