Should the Monsterverse finally introduce Gigan in the Godzilla x Kong sequel?

Well there is no need for that because Gigan will appear in the new MonsterVerse anime: Monarch G-Team 

It's not an anime since it's not made in Japan lol and Monarch G-team were pointless characters. Also hire Jared Modina for the Monsterverse films please and let him do the job since his work is way better than the other artists who worked on the previous films especially for the Toho monsters lol. It's clear that he’s a fan and knows the monsters better than the directors.

anime doesn't need to be in japan, other countries might as well make their own anime!

Anime specifically refers to a style exclusively in Japan by the Japanese. It's simply called animation in the western world since they can't adopt the same style the Japanese can no matter how hard westerners try. The Last Airbender is a great example not being qualified as an anime

then what should we call it (not a cartoon)

I also think it’s a good idea to integrate it.

On the whole anime vs cartoon vs western animation front. The Japanese consider all things animation as anime that includes Bugs Bunny, Spongebob and Shrek

Last Airbender is simply an animation series not an anime. Japan does not consider those as anime. Those are simply cartoons and Shrek is an animation movie. Even if you look those up they’re categorized as either cartoon series or Animation. Anything western is not Japanese or anime.

Anime is short for animation :skull: