Hi Eric,
Please check the user manual:

Because the chip without on chip flash, then you need to USART0, even the according pin is connect other component, but you still can connect it to the UART.
Please follow my step:
1. Connect your USB-UART tool to these pins:
1) P2_0 is GPIO5[0], it is J10_16. TX pin, connect to your USB-UART tool RX pin.
2)P2_1 is GPIO5[1], it is J10_26, RX pin, connect to your USB-UART tool TX pin.
2. Power on the board after you connect the USB-UART pin to your board.
3. Press RESET and SW2 switch, then release the RESET at first, then release SW2.
4. open FlashMagic, choose the COM port as the number of your USB-UART, then ISP->Device signature
You will find the chip is connect to the flashmagic
This is the picture from my NGX LPC4330 board.

You can try it on your side.
Wish it helps you!
Have a great day,
Kerry
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