I take “on Earth as it is in heaven” as governing both “Thy Kingdom Come” and “Thy Will Be Done.”
In the Vulgate, it is cotidianum nostrum panem = “our daily bread” in the Luke version. In the Matthew version, it is supersubstantialem nostrum panem = “our life-sustaining bread.”
I thought supersubstantialis might have a more heavenly meaning, but no.
Life giving bread, saving cup. They know us by the sign of our love. Or something like that. Bogus ordo modern Catholic music, but it captures the essence. Man does not live by bread alone but by every word that comes from the mouth of God.
Many of us don’t take daily eucharist, but we can certainly daily pray the Our Fadder.