By Laura Sanicola (Reuters) -Oil prices edged higher on Thursday after U.S. crude inventories fell more than expected amid high demand for fuel and OPEC+ agreed to boost crude output to compensate for a drop in Russian production. U.S. crude oil stockpiles fell last week by 5.1 million barrels to 414.7 million barrels, compared with analysts’ expectations in a Reuters poll for a 1.3 million-barrel drop. Brent futures rose $1.16, or 1%, to $117.45 a barrel by 12:06 p.m. EDT (1606 GMT), while U.S. West Texas Intermediate (WTI) crude rose $1.51, or 1.3%, to $116.77. Prices, however, were also sup…