I installed VSCode and the PlatformIO extension to see if this board can be used with pio. It works!

Steps to reproduce:

Project setup

• in PlatformIO home tab, import Project Examples - stm32cube-hal-blink
• modify platformio.ini to have the following content (it might be ok to omit some settings, I'm not sure):
  

  [env:demo_f030f4]
  ;platform = ststm32
  platform = https://github.com/platformio/platform-ststm32.git
  framework = stm32cube
  board = demo_f030f4
  build_flags = -DF0
  ; change microcontroller
  board_build.mcu = stm32f030f4p6
  ; change MCU frequency
  board_build.f_cpu = 48000000L
  upload_protocol = stlink

  Just using "ststm32" as platform doesn't work because there's a problem with the F030F4 startup code, see issue here: https://github.com/platformio/platform-ststm32/issues/234. So we need the github platform.
• Main already has blink code, but this breakout board's LED is connected to GPIO port B, pin 1. So change the port settings to (also pay attention to the clock enable macro, which needs to be changed to port B, too):
  

  #define LED_PIN                                GPIO_PIN_1
  #define LED_GPIO_PORT                          GPIOB
  #define LED_GPIO_CLK_ENABLE()                  __HAL_RCC_GPIOB_CLK_ENABLE()
  

  (somewhere around line 24)

Hardware setup

Connect an ST-Link to the breakout board and supply 3.3 V to VDD (the ST-Link connection will not supply power!). See here: https://hackaday.io/project/4277/gallery#52043e53586461bb2bbb51046f9c2334

Build and upload

should work out of the box. If upload fails, check udev rules and dialout group stuff as described here: https://docs.platformio.org/en/latest/plus/debug-tools/stlink.html#debugging-tool-stlink

Sometimes replugging the USB cable or a manual reset can also be helpful.