//byte FDXBData[] = {0x35, 0x29, 0x71, 0x00, 0x03, 0x8f, 0x00, 0x01}; // reversed ie littlend lsb first, id# 000009344172, country code 967 crc should be 0x4FEB
byte FDXBData[] = {0x80, 0x00, 0x00, 0x00, 0x03, 0x9f, 0x00, 0x01}; // reversed crc should be 0x2E44, id# 000000000001, country code 999
...where did you get the examples you used in your sketch?
From the
Wikipedia article it looks like the start bits are either not included or are not the correct values.
The
Priority 1 Design description is difficult to trust because the diagram directly contradicts the written description.