Definitely ignore the "advice" about adding a zero to your PIN. Your PIN and your PIN only will work in an ATM.
If definitely has nothing to do with the chip. Those are standard in the industry.
Bank employees are unlikely to be of much help solving your issue, especially if it is something with your bank.
I occasionally have ATM machines that don't work for me - I'm never sure why and just move on to a different machine (be sure it is a different bank).
Be sure to follow the instructions on the screen exactly. Some machines require you to leave the card in the machine, some you swipe.
If all else fails and you need cash, you can use your credit card for a cash advance (if you have a PIN for that). Obviously that comes at a cost, but it is a backup plan.