LONDON—Oil rose to nearly $82 a barrel on Tuesday, supported by tight supply and hopes that rising coronavirus cases and the spread of the Omicron variant will not derail a global demand recovery. A lack of capacity in some countries has meant that supply additions by the Organization of the Petroleum Exporting Countries (OPEC) are running below the allowed increase under a pact with its allies. On the demand side, major economies have avoided a return to severe lockdowns, even as coronavirus cases soar. Brent crude gained 73 cents, or 0.9 percent, to $81.60 a barrel by 1445 GMT, having lost 1 percent in the previous session. U.S. West Texas Intermediate (WTI) rose 77 cents, or 1 percent, to $79 after falling 0.8 percent on Monday. “Omicron has yet to wreak the havoc of the Delta variant and may never do so, keeping the global recovery on track,” said Jeffrey …