The text does not contain anything about the little horn being a kingdom.
You are trying to copy and paste what Gabriel said of the four generals of Alexander's four breakup kingdoms - and overlay it about what is written about the little horn.
The text though does not say anything about the little horn being a kingdom.
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Allow me to point something out to you.
In Daniel 9, Gabriel appears to Daniel - who Daniel referred to seeing Gabriel before in Daniel 8 and addressed the little horn and of him committing the transgression of desolation, and stopping the daily sacrifice.
What vision is Gabriel referring to in Daniel 9?:23 ? This is critical. It s the vision about the little horn, to take place in the time of the end. The little horn is the prince who shall come in Daniel 9:26. Who confirms the covenant for 7 years in Daniel 9:27.
21 Yea, whiles I was speaking in prayer, even the man Gabriel, whom I had seen in the vision at the beginning, [back in Daniel 8] being caused to fly swiftly, touched me about the time of the evening oblation.
22 And he informed me, and talked with me, and said, O Daniel, I am now come forth to give thee skill and understanding.
23 At the beginning of thy supplications the commandment came forth, and I am come to shew thee; for thou art greatly beloved: therefore understand the matter, and consider the vision.
The matter is the 70 years of captivity being about up that Daniel was praying about in the opening verses in Daniel 9.
The vision though is the vision about the little horn stopping the daily sacrifice and committing the transgression of desolation (revealing himself as the man of sin).
the little horn > becomes the prince who shall come > become the Antichrist > becomes the revealed man of sin > becomes the beast of Revelation.
You should already realize that the little horn standing up against Jesus, to make war on Him in Daniel 8:25 is him as the beast in Revelation 19:19 making war on Jesus.
So you got so far...
the little horn > becomes the beast of Revelation.