I don't speak for Israel nor am I privy to their internal war plans, but the way I see it is thus:
Israel has been implementing ceasefires since its inception, to the detriment of both sides. All ceasefires have ever done is kick the can further along the line, allowing the enemy to regroup and re-arm, which lead to more bloodshed.
For 18 years Israel tried to ignore Gaza and the attacks against civilians coming out from there, rationalising that it would be worse and more costly to deal with it than to mainly ignore. The events of 7 October put paid to that delusion, and now Israel has changed tactic.
It now understands that this is a war which it must win, and crucially Hamas/Gaza must lose. The only way forward ever, with any war, is for one side to be unequivocally defeated, and from there on rebuilding is possible.
As soon as Hamas/Gaza accepts defeat, lays down its weapons and releases the hostages, the acute stage of the war is over. From then, my assumption is that Israel would have some kind of long term plan of (a) deradicalisation, probably by re-education, (b) rebuilding, but with full oversight, making sure there are no tunnels, and (c) handing over the governance to a neutral Arab state.
This broad plan isn't different to how we dealt with Nazi Germany or fascist Japan post war. First there was a clear winner, then rehabilitation of the enemy.
The quicker Gaza/Hamas realises Israel is here to stay, and the most beneficial and prosperous way forward for them is to focus on their own flourishing rather than the destruction of Israel, the fewer lives will be lost.
This is a war that was foisted upon Israel, but now it has a moral duty - to its own citizens, but in the long term, also to the Gazans - to win. Hamas/Gaza can end their misery immediately by surrendering.