How can I run a command, when I press the top button of my Bamboo Ink pen?

I've been trying to run a command, when I press the top key on my Bamboo Ink Pen. I realized that it connects via Bluetooth, when I press the button and ceases the connection, when I release it. I stumbled over Run a script when bluetooth device is connected and when I run udevadm monitor --environment --udev --kernel --property and press the button once, I get the following output:

KERNEL[5118.647193] add      /devices/pci0000:00/0000:00:14.0/usb1/1-7/1-7:1.0/bluetooth/hci0/hci0:3585 (bluetooth)
ACTION=add
DEVPATH=/devices/pci0000:00/0000:00:14.0/usb1/1-7/1-7:1.0/bluetooth/hci0/hci0:3585
SUBSYSTEM=bluetooth
DEVTYPE=link
SEQNUM=4094

UDEV  [5118.657098] add      /devices/pci0000:00/0000:00:14.0/usb1/1-7/1-7:1.0/bluetooth/hci0/hci0:3585 (bluetooth)
ACTION=add
DEVPATH=/devices/pci0000:00/0000:00:14.0/usb1/1-7/1-7:1.0/bluetooth/hci0/hci0:3585
SUBSYSTEM=bluetooth
DEVTYPE=link
SEQNUM=4094
USEC_INITIALIZED=5118654305
SYSTEMD_ALIAS=/sys/subsystem/bluetooth/devices/hci0:3585
SYSTEMD_WANTS=bluetooth.target
SYSTEMD_USER_WANTS=bluetooth.target
TAGS=:systemd:

KERNEL[5119.311809] remove   /devices/pci0000:00/0000:00:14.0/usb1/1-7/1-7:1.0/bluetooth/hci0/hci0:3585 (bluetooth)
ACTION=remove
DEVPATH=/devices/pci0000:00/0000:00:14.0/usb1/1-7/1-7:1.0/bluetooth/hci0/hci0:3585
SUBSYSTEM=bluetooth
DEVTYPE=link
SEQNUM=4095

UDEV  [5119.317304] remove   /devices/pci0000:00/0000:00:14.0/usb1/1-7/1-7:1.0/bluetooth/hci0/hci0:3585 (bluetooth)
ACTION=remove
DEVPATH=/devices/pci0000:00/0000:00:14.0/usb1/1-7/1-7:1.0/bluetooth/hci0/hci0:3585
SUBSYSTEM=bluetooth
DEVTYPE=link
SEQNUM=4095
USEC_INITIALIZED=5118654305
SYSTEMD_ALIAS=/sys/subsystem/bluetooth/devices/hci0:3585
SYSTEMD_WANTS=bluetooth.target
SYSTEMD_USER_WANTS=bluetooth.target
TAGS=:systemd:

Unfortunately there is no idVendor or idProduct. When I run sudo tail -f /var/log/syslog though, it complains that the file does not exist. My udev rules looks like this so far.

# Run a program when my Bamboo Ink is connected
ACTION=="add" , SUBSYSTEM=="bluetooth", ATTR{idVendor}=="xxx", ATTR{idProduct}=="yyy", ATTRS{model}=="Bamboo Ink", RUN+="xournalpp"

Guessing the model is "Bamboo Ink", since I found this line in journalctl -b

26 14:57:35 X380-Yoga kernel: wacom 0005:056A:035F.000C: Unknown device_type for 'Bamboo Ink'. Ignoring.

So I need to find the idVendor, idProduct and model. Is there another way to do that?