Hi
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Hi
According to the datasheet this display is common anode.
GNS-5611BS, GNS-5611BS Datasheet, GNS-5611BS PDF - G-NOR see 5611Bx schematic.
Test it with your display.
Unplug all wires that go into it.
Then connect pins 3 and 8 of the display to +5V
Then, with a resistor like the one you are using, connect one end of the resistor to the GND and the other end to connect to pins 1, 2, 4, 5, 6, 7, 9 and 10, one at a time.
If each segment should light up it confirms that your display is common anode and will not work with the 74HC595.
For your project you need the 5611Ax.