The “heartbreaking” mix-up over a bungled IVF treatment given to a Queens woman — which led her to give birth to two strangers’ babies — was worse than previously known.

A California couple who are biological parents of one of the children said Wednesday that not only was their embryo given to the wrong person, they were given yet another stranger’s baby in its place.

Anni and Ashot Manukyan, of Glendale, are suing Los Angeles CHA Fertility Center after the clinic placed two embryos — one belonging to them and one to another couple — into a woman from New York.

The Manukyans didn’t know that they had a son until after he was born to a complete stranger on March 30 — and didn’t get to meet him until they won a turbulent custody battle when he was already 6 weeks old.

To make matters worse, Anni Manukyan later learned she had been implanted with an embryo belonging to yet another couple who were clients of the clinic — but CHA has no idea who.

“Who wants to meet their child in the lobby of a hotel?” Manukyan said through tears at a press conference in Los Angeles on Wednesday. “It was heartbreaking. It was terrible,” she sobbed.

“It is important to us as a family that this never happens again. Without our knowledge, CHA implanted our embryo into another woman who lived halfway around the world,” she added.

They are now suing the clinic, with their attorney Adam Wolf calling their case “one of the worst embryo-related tragedies in US history.”

The horrendous mix-up was revealed in a lawsuit filed last week by a Queens couple who tried for years to become pregnant before giving birth to two babies belonging to two other families.

The Korean American couple from Flushing, also a client of CHA, were told they had conceived twins, but the tragic mix-up became clear when the woman gave birth to two children of another ethnicity.

In their legal claim, the Queens couple said the experience of delivering the babies and then losing them has left them with “permanent emotional injuries from which they will not recover.”

The third family — who remains anonymous — has also been reunited with their son.

The three couples were all at the clinic on the same day in August 2018 to have embryos transferred.

CHA declined to comment.

Anni Manukyan said she felt “violated” after she learned she had also been implanted with another couple’s embryo that did not result in pregnancy.

“CHA robbed me of my ability to carry my own child, my baby boy, and be with him in the first moments of his life,” she said.