Apparently you are getting your information and possibly charts from sources which have been making valiant attempts to write the “Medieval Warm Period” out of existence. There is ample evidence that the Warm Period that lasted from around 950 until approximately the Maunder Minimum that started around 1675 was much more than a local event.
But the current rise is 2-3 ppm per year. That means it has a different source than the MWP, or in other words, only a small portion of that 2-3 ppm per year is a lagging effect of the MWP.