I had problems with bluetooth and did this:
After contacting the support team, they may ask you to do steps similar to the following:
- Get a more modern firmware from a repo. We have listed here on this forum to use https://source.puri.sm/Librem5/redpine-firmware-nonfree , but the support team pointed me to a fork using the command  wget https://source.puri.sm/angus.ainslie/firmware-rs9116-nonfree/-/raw/debian/master/Firmware/RS9116_NLINK_WLAN_BT_IMAGE.rps. It might be beneficial to try one if the other doesn’t work.
- Create a firmware folder on your phone if it doesn’t exist already:  sudo mkdir /lib/firmware.
- Move the newly downloaded firmware, using  sudo mv -t /lib/firmware RS9116_NLINK_WLAN_BT_IMAGE.rps
- Reboot the phone.
- Attempt to turn on Bluetooth in the settings.
- If trouble occurs, open a terminal, and save the  dmesgfor he support team: for example, I didsudo dmesg > dmesg_new_firmware.txt.
I found this in this post Bluetooth support for Librem 5 now I can connect my earphones but no the bluetooth mouse that isn’t showing up.