It's the same word, with the additional qualification of "Messiah" in verse 25 to confirm the identity when comparing Scripture with Scripture.
Who is the "prince" in verse 26, and who is "he" in verse 27?
"He" confirming the (new) covenant and (through His own blood) causing the system of sacrifices and offerings for sins to cease to be necessary, is the Messiah.
One Prince is mentioned in Daniel 9:24-25.
A second prince of the people who were to come is mentioned in Daniel 9:26.
The Messiah:
26 And after sixty-two weeks Messiah shall be cut off, but not for Himself.
27 And he (Messiah) shall confirm a covenant with many for one week. And in the midst of the week he (Messiah) shall cause the sacrifice and the offering to cease.
The city & sanctuary:
26 And the people of the prince who shall come
shall destroy the city and the sanctuary. And the end of it shall be with the flood, and ruins are determined, until the end shall be war.
27 and for the overspreading of abominations
he shall make it desolate, even until the consummation, and that determined shall be poured upon the desolate.
There are various ways of translating verse 27, because the meaning is not 100% clear in the Hebrew. There are almost as many widely different translations of verse 27 as there are versions of the Bible.
Netfree
He will confirm a covenant with many for one week. But in the middle of that week he will bring sacrifices and offerings to a halt.
On the wing of abominations will come
one who destroys, until the decreed end is poured out
on the one who destroys."
The first mention of "one who destroys" is not pointing to the Messiah, IMO. It refers to the prince of the people who were to come, destroying the city and the temple.
Compare it with Jesus' words when standing in the temple, 40 years before the city and the temple in it were destroyed by Roman armies.