How could I commission a Matter device to Home Assistant without Google?

[daxcore]

i got it. my device is now available in homeassistant. I used the matter web-ui in homeassistant like u can see at the end of the post here:

“Commissioning is also possible through the Matter Server add-on Web UI.”

Matter Pairing/Commissioning hints

If you are new to Matter, check the official Matter integration docs! Specifically read the Adding a Matter device to Home Assistant which walks you through all the steps necessary to add a device. This post adds some more information and other commissioning options if you have problems or you are seeking for other ways to commission devices. The recommended commissioning mode for Matter devices is currently through the official Home Assistant companion apps. Both, the Android…

so no need for android device at all and also no need for external scripts etc.