The difficulty of finding peace in the Middle East is mainly due, to the lack of international institutions, that try to be neutral in stance and work for peace.
The UN used to be that institution, and Israel was, before the war, a candidate to be that light upon the nations.
So, no-one really lifts this extremely important task.
That is the opening of the EU, in the sense, that EU needs to find its legs in the world, could take.
Would that be good for the EU?
Absolutely. Being a very respected player for peace, that work for the betterment of humanity is something, that will elevate the EU to a new level.
How does the commission then do it?
It applies wisdom to the commission, and helps with advice and speech.
G-d bless the peace we can find, of our institutions work as intended.