Not entirely accurate and even where accurate somewhat misleading.
Large areas in the Mississippi Valley and along the Atlantic Coast were occupied by Union forces and not excluded by name from the EP. Therefore slaves in these areas were immediately freed on the EP going into effect. The number was somewhere between 50k and 100k.
The EP also took effect in new areas as the Union armies conquered them. By the end of the war the vast majority of slaves were freed by the EP.
About 250,000 were freed by state action of MD, MO and WV.
Some additional hundreds of thousands were freed by puppet state governments in LA, AR and TN. This was pretty much an extension of federal power and was basically a variant of the EP.
Only about 200,000 were freed by 13A, almost all in KY with a couple hundred in DE.
Sorry, but I was wrong about the number of slaves in KY in 1865. There were over 200,000 in 1860, but the considerable majority had already “freed themselves” by 1865 by running off.
Somewhere around 50k to 60k were still held in bondage to be freed by 13A.