By Nidal al-Mughrabi and Arafat Barbakh CAIRO/GAZA/JERUSALEM (Reuters) -U.S. Secretary of State Antony Blinken and Europe’s senior diplomat Josep Borrell began a new diplomatic push on Friday to stop spillover from the Gaza war into Israeli-occupied West Bank, Lebanon and Red Sea shipping lanes. Their Middle East visits came three months since Hamas militants from Gaza attacked Israel, triggering an offensive that has devastated the enclave, uprooted 90% of its population, and killed 22,600 people, according to Palestinian officials. Israel, which says it has killed 8,000 militants since the d…