Arduino for STM32

i need a library for the X-NUCLEO-IDB05A2 as a bluetooth serial or hid for a project of mine

It connects using SPI so not Serial or HID. If you want to connect this way, you'll have to write a program for STM32 that acts as an adapter (receives data on Serial/USB and sends to IDB05A2 via SPI).

no i ment that the bluetooth chip connects to the pc as a keyboard or bluetooth serial device controlled by the stm32

for that it is called STM32-WB
https://www.st.com/resource/en/flyer/flstm32wb.pdf
https://www.st.com/en/evaluation-tools/ ... -wb55.html
but mainly Bluetooth LE.
hid & all that would require implementation 'from scratch'

but if you understand Bluetooth LE, you can program mostly any generic BLE custom profile and apps.
smart watches, bLE scales and many more does it that way and connects to android phones.

could you implement the serial bluetooth protocoll for this module for me

a random "google" search turns these up
https://github.com/Jakeler/ble-serial
https://www.st.com/resource/en/design_t ... ronics.pdf
https://wiki.st.com/stm32mcu/wiki/Conne ... with_STM32
https://community.st.com/s/question/0D5 ... on-stm32wb
i'm not sure if it'd after all work.

no none of them did work and the first one is the ps side software and it is the one i am corrently using in another setup