CLAIMING WE WERE LOVERS IN THE PREVIOUS TIMELINE

I was asked to become lovers in this timeline too. But I don't remember the past one.

One day, Amakawa Iroha, who had fled home, found herself sheltered by her extrovert classmate, Inadzuki Misora.

A month later, Iroha expressed her desire to repay Misora for letting her stay for free. Misora responded, "Then I want you to recall the memories of us being lovers in the previous timeline."

As they spent more time together, Iroha began to realize that Misora's claim about their past timeline was neither a lie nor a joke...

This is the tale of an absentminded oddball and a timid extrovert becoming lovers, influenced by the echoes of the previous timeline.

When I Ran Away from Home, an Extrovert Took Me In, Claiming We Were Lovers in the Previous Timeline (家出したら陽キャに拾われて「前の時間軸では恋人同士だった」と迫られる話) is a Japanese Web Novel written by Inukai Anzu (犬甘あんず) and translated by Mui.
Link: https://re-library.com/translations/extrovert-lovers/