"He said the illegal Israeli settlements were spreading across the West Bank "with the explicit support of this Israeli government."

From the river to the sea
Israel will be free of Untermensch.

"Has Israel elaborated upon their end-game in this war?"

They just want to be Secure. I think that means the death of all Muslims, judging by the way they have been going about securing themselves since 1948.

"What is Israel's destination?"

In the short term, meaning the next few generations, Eretz Yisrael.

That's Netanyahu's destination, anyway.

I can't say what Israel's next metastasis is, or if there will be one, once they fulfil their manifest destiny and establish Eretz Yisrael.

But I can say they don't have any delusions about getting there peacefully. Were coming up on the 80th anniversary of the King David Hotel Bombing. Is that a national holiday in Israel yet?

"But if Israel really wants long-term peace for its country, is there a different approach?"

I think the problem with your question is the framing. The "If."

Israel didn't get here by "a different approach."

Israel is the Ubersoldat love child of British Imperialism and European Jewish Colonialism (the Z Word).

She was born by winning a war and she's won every war since with ease.

I don't think Israel sees any particular reason to alter her modus operandi.

So I don't see how long term peace could possibly be on her horizon, in time or territory.