REvaKing

I misread the question. I thought it was asking for probability until OCTOBER 2024, not April. It is highly unlikely Israel will declare war on anyone else in the immediate future. They have insufficient funding and a lack of international support and cannot afford a two-front war without others. 

Hezbollah is a significant threat. However, Israel has been in a prolonged conflict with Hamas since October 2023. NATO and the U.S. funding has largely been withdrawn, and substantial public outcry for a ceasefire exists. They are unlikely to have the funds or equipment for more than a short set of skirmishes. 

However, if Hezbollah or other factions continue attacks against larger countries, it is possible increased funding may be directed to stabilizing the region. 

He has been re-elected, is not showing significant signs of illness, and his public approval ratings (as shown) have only increased.

Increasing pressure from NATO and the U.S. for a ceasefire. 
Lack of funding.
Bad press on the continued bombings in Gaza. 

Substantial pressure continues to be placed on Israel for a ceasefire, coming from the United Nations and many independent countries. The U.S. has been providing support to both Israel and Gaza in weapons and humanitarian aid, respectively. However, the U.S. faces significant pressure to discontinue one of the other, which has also been tied to the support of Ukraine and the U.S. southern border policy. Without continued aid from allies, continuing the war for too long will be difficult. 

However, other nations are instigating attacks against U.S. troops, and the U.S. has retaliated. A lot will likely come down to if there are escalations around Israel and Gaza.