Where was Dragon Gate Inn filmed?

1967 Taiwanese wuxia film directed by King Hu

Wikidata records no filming location for Dragon Gate Inn (1967) at all, not a place, not even a country. There is nothing to pin, and this page says so rather than guessing.

Open the map → Wikipedia Source data

Why there is no pin

Its Wikipedia article also says it was filmed in Taiwan, without naming a place, so it is not on the map.

Filming locations that are mapped there: Taiwan