Make sure the oil is coming out of the bar pad with the bar and cover off. Then check the bar entry area, make sure it’s clean.
Are you using a Stihl bar? Make sure that it’s lined up with the oiler hole, as in the two holes align, the bar pad and the bar hole.
Run saw with bar and no chain. See I’ve the groove is filling with oil.
There’s a thread on the Verböten site about modding pumps.
If it’s oiling properly, you shouldn’t need more than 1/2 tank of oil to a tank of fuel. FWIW, the MS261 has a very small fuel tank.