Hello Judge not.
The Koine Greek word 'basileia' is translated in the N.T over 160 times as 'kingdom'.
The Koine Greek word 'basileia' is translated only once as 'reign', which somewhat aligns
with your definition.
The translation of the Greek word 'basileia' does not reduce to two competing definitions.
One definition being the 'rule or power of a king' and another being 'kingdom'. A translation
of any word in a Biblical text or otherwise, conforms to the simple definition of any word in
the original language.
'kingdom' in our English language means: country, state, or territory ruled by some authority.
In the Biblical text 'basileia' translates to kingdom, the defined domain of any ruling authority.
Kings or ruling parties come and go but the kingdom (basileia), empire or state, remains the same.
Luke 4:5
And he led Him up and showed Him all the kingdoms (basileia) of the world in a moment of time.
One word is used above and the translators used 'kingdom', they did not use 'power' or 'rule'.
'Basileia' means 'kingdom' or 'empire' in the Koine Greek literature outside of the Bible.
'Basileia Romaion', the Greek name for the Byzantine Empire, translated as 'Empire of the Romans'
(wikipedia)
To push a theological meaning onto the word 'basileia' and then to translate it so. Would be to
corrupt the simple meaning of the word in the every day language at the time of Christ. Bible
translators do not deviate from the simple definitions of the Greek words.
You have been transferred from one kingdom to another kingdom, from one domain to another.
You are a new, spiritual creation in Christ, no longer a carnal, flesh and blood descendant of
Adam. Old things have passed away Judgenot, you are now a saint in the kingdom of God.
" Basileia ' can have different meanings or usages.
The New International version study Bible explains that the word Kingdom does not refer to an empire or principality in this verse.
All other occurrences when referring to Kingdom point to a literal dominion or domain like in Matt 6:33 , Rev 11:15, etc.
We are subject to that authority and live our lives under it but not yet residents of it.
" translated " means " transferred" from one power (evil) to another power (good)
when Jesus said the Kingdom of God is " within you ' I believe H e was referring to His physical presence being " among you " the Jewish leaders and people.He was speaking to.
Didn't Jesus say Satan was the god of this world-this is satan's kingdom now but Christ is returning to change all that.and will establish His Kingdom forever 2 Pet1:11