(Matthew 6:10, New Heart English Bible)
Stacy Tyson has been giving such insight through his series on the Lord's Prayer. (thebesttimes.com e-version, May 2023, p.21) "God's kingdom is where truth defines reality and the lie has been rejected." Ponder that for awhile.
Part of the kingdom coming shows a connection of Hallowing His name and His will to be done. The first coming of Jesus brought that kingdom but we still pray this prayer today for God's continued reign in the hearts of His children. His kingdom to come, His will to be done begins with each one of us. Tyson refers to that as "first taking root in us."
Stacy also shares a quote from Dallas Willard that sums up the link between "kingdom come and will be done," as God's effective will where what he prefers is actually what happens."
"In short, when we pray these lines, we are asking that all things be arranged and in line with the with the good and wise purposes of Father God. (Ibid, p.21)
Prayer warrior, JoLynn, ends most all of her prayers of petition with "if it be your will, O Lord" or "according to your good and perfect will."
That's "Thy will be done" in a nutshell.