Mazda 6 doesn't shift out of park

Hey there, I got a 2009 Mazda 6 sedan based in Australia. I can't shift out of the park when I tried to drive this morning as well as other issues including the "DSC off" and "ABS" lights always on and the brake light doesn't work. The error code that I found from OBD is C0044(1C) - Brake Pressure Sensor "A", which I think explains why ABS, DSC and shift don't work well as they're all related to the brake sensor. According to the procedure in https://mazdamanuals.com.au/wsm-secure/WSM/D959-1A-09G/esicont/srvc/html/id0402b2878100.html, it sounds complex and most importantly expensive to replace the DSC HU/CM, and someone else mentions it might be the brake light switch issue. I wonder has anyone had this issue before? How did you resolve it? Thanks in advance!