Matty Healy’s exes have each other’s backs! Several days after Taylor Swift released her album The Tortured Poets Department — which features a few songs thought to be about the British star — Healy’s ex Halsey showed support for the blonde beauty’s new music. In a Thursday, April 25, Instagram Story upload, the “Without Me” crooner, 29, shared a photo of her new boyfriend, Avan Jogia, 32, wearing TTPD sweatpants. She captioned the shirtless shot of the actor — whom she was first linked to in September 2023 — with a heart emoji. Healy, 35, and the mother-of-one had a fling in 2015, and it’s be…