You need to use Bluetooth Low Energy (BLE) instead of Bluetooth Classic (BT). The esp_hidh library is primarily for HID host, not for acting as a Bluetooth HID device

If you need to work with FreeRTOS, I think it's better to move away from ESP8266. Use ESP32 instead.

If your ESP32C6 is inside a metal case or near other electronics, it will severely reduce range. Try to test in open space. Metal, walls, and large objects absorb Zigbee signals.

I think you can try wireshark. It can capture full probe messages.
https://docs.espressif.com/projects/esp ... guide.html

I think your only solution is to make a custom board. Many ESP32 boards have built-in charging systems but none come with a built-in boost converter.

These contents may help.
https://docs.espressif.com/projects/esp ... -mesh.html
https://github.com/espressif/esp-mdf?

You'd better check your PCB traces. The traces to the 32 kHz crystal must be short and symmetric, and should avoid noisy signals that are likely to interfere.

I'm afraid that you'll not find any direct example if esp-idf. You will need to do it all by yourself.

Try different values (e.g., 5ms, 10ms, 20ms) and check whether it improves detection.

That are not much info about the conflict between these two protocols. Anyway, you can check these threads.

http://esp32.io/viewtopic.php?t=38709

https://esp32.com/viewtopic.php?t=23406