Is it true that did bradley cooper sing in a star is botn based on the following text?

After seeing him perform at Desert Trip festival, Cooper approached Lukas Nelson (son of country music singer Willie Nelson) and asked him to help work on the film. Nelson agreed and wrote several songs, which he sent to the producers. Nelson subsequently met Lady Gaga and began writing songs with her and she, in turn, provided backing vocals on two tracks on his self-titled 2017 album. The soundtrack, performed by Gaga and Cooper, was released on October 5, 2018, by Interscope Records. The studio announced that the album ''features 19 songs in a wide range of musical styles + 15 dialogue tracks that will take you on a journey that mirrors the experience of seeing the film.''

Available choices:
(I) no.
(II) yes.
(II)