LOS ANGELES — Danielle Haim remembers coming into the studio with three thoughts in her head:

1. She and her sisters still needed an opener for their new album.

2. They should try sampling somebody else’s music.

3. That somebody should be George Michael.

This was last year in Los Angeles, as Danielle, Este and Alana Haim were chipping away at what would become the fourth LP by the rock trio that bears their family’s name. With Danielle and her friend Rostam Batmanglij working as co-producers, the band had made great progress at Rostam’s place and at Valentine, a vibey old studio in Valley Village, two blocks from the Haims’ childhood home.

Yet Danielle and Rostam agreed that they hadn’t yet cracked “a song that felt like Track 1,” as Rostam puts it now.

So with inspiration drawn from

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