I thought also that some researchers claimed a star had signals consistent with a type II [2].
[1] https://en.wikipedia.org/wiki/Kardashev_scale
[2] https://www.space.com/30832-kepler-telescope-alien-megastruc...
[3] http://www.astronomy.com/news/2019/09/evaporating-exomoon-co...
[3] http://www.astronomy.com/news/2019/09/evaporating-exomoon-co...