Ban overturned, but when trying to play the game it says that I am still banned

For those facing a similar issue, I recommend taking your time and not giving in to emotions. Do not DISPUTE your case independently in the "BAN" section in My Cases or on MY BAN HISTORY page. Instead, contact a EA live support agent through the "START A NEW CASE > Apex > See all topics > I need help logging in to my EA Account" section. This way, you won't lose your 3 appeal tickets for your BAN and deal with disputes against automated responses from the TOS team. An agent will assist you with this. Whether this will result in the ban being removed at the moment is unknown.