Note: It is the Japanese which is provided in the artbook, not the Latin.

In the artbook, these lyrics come titled as “A Song for Bygone Days,” but I don’t believe that these are the lyrics for the localized track A Song for Bygone Days that plays during the Act 4 overworld. They can be found on the page for the Children of Fate cutscene, so these lyrics instead might be for the Title Loop track or even lyrics that were supposed to go with Undiscovered Horizons, because the melody matches the one that plays during the cutscene.

The lyrics are deliberately disjointed, as is standard for most Japanese lyrics.

Carving a place for themselves, this is the mutual wish
of the children of fate, but their paths diverge

They are the faces of Arcadia, the sea of stars is far away
Broken vows, an illusion of distant days

Many seasons come to pass
Tears fill the sky, sadness of the earth

Growing ever more apart, the two kingdoms
Chased those distant lands, to the dreams of gods

To seize the end of this long battle,
Love for the boy, strength for the girl

The boy and girl set off, set off for trials
Await the end of their journey, believe in a reunion

This is the last of the lyrics included with the cutscene pages.