The United States has encouraged Syria to consider sending forces into eastern Lebanon to help disarm Hezbollah, but Damascus is reluctant to embark on such a mission for fear of being sucked into the war in the Middle East and inflaming sectarian tensions, five people briefed on the matter said.The proposal to Syria’s US-allied government reflects intensifying moves to disarm Iran-backed Hezbollah, which opened fire at Israel in support of Tehran on March 2, prompting an Israeli offensive in Lebanon.For all the latest headlines, follow our Google News channel online or via the app.The idea was first discussed by US and Syrian officials last year, said two of the sources - both Syrian officials - and two others familiar with the discussions. All spoke on condition of anonymity because of the sensitivity of the matter.The idea was raised again by US officials around the time the US and Israel began their war against Iran. The two Syrian officials said a US request came shortly before