Hi Matt,
yes, that project blinks on my side. But I see that I did not had included the J-Link debug configuration. Have you created that debug configuration on your side?
Just in case: it is attached now with the launch configuration.
I did try to delay the Segger J-Link server, but this did not really help, so I don't have a solution for this.
Your project did not had the needed subfolder includes configured:

All what it had was this (note the duplicated entries?):
"${ARM_EWL_DIR}/EWL_C/include"
"${ARM_EWL_DIR}/EWL_C/include/arm"
"${ARM_EWL_DIR}/EWL_Runtime/include"
"${ARM_EWL_DIR}/EWL_Runtime/include/arm"
"${ProjDirPath}/Generated_Code"
"${ProjDirPath}/include"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/src/lin"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/devices/S32K144/startup"
"${S32K144_SDK_GCC_0.8.6_PATH}/rtos/osif"
"${S32K144_SDK_GCC_0.8.6_PATH}/middleware/sbc/sbc_uja1169/include"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/devices/common"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/src/sai"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/devices/S32K144/include"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/src/enet"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/src/flexio"
"${S32K144_SDK_GCC_0.8.6_PATH}/middleware/lin/include"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/devices/S32K142/startup"
"${S32K144_SDK_GCC_0.8.6_PATH}/middleware/lin/coreapi"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/src/eim"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/devices/S32K148/startup"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/src/adc"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/src/erm"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/src/pins"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/devices/S32K146/include"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/src/clock/S32K1xx"
"${S32K144_SDK_GCC_0.8.6_PATH}/middleware/lin/transport"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/devices"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/src/ewm"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/inc"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/devices/S32K148/include"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/src/quadspi"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/src/wdog"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/pal/spi/inc"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/src/rtc"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/devices/S32K146/startup"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/drivers/src/flexcan"
"${S32K144_SDK_GCC_0.8.6_PATH}/platform/devices/S32K142/include"
"${ProjDirPath}/Generated_Code"
"${ProjDirPath}/Sources"
"${ProjDirPath}/SDK/platform/drivers/src/clock/S32K1xx"
"${ProjDirPath}/SDK/platform/devices"
"${ProjDirPath}/SDK/platform/devices/common"
"${ProjDirPath}/SDK/platform/devices/S32K144/include"
"${ProjDirPath}/SDK/platform/devices/S32K144/startup"
"${ProjDirPath}/SDK/platform/drivers/inc"
"${ProjDirPath}/SDK/rtos/osif/"
I hope this helps,
Erich