The Zoom F3 unfortunately doesn't feature a dedicated timecode input. That's why we cannot recommend using it in combination with our Tentacles.
The Bluetooth protocol, which is used by the Zoom BT-1 adapter, cannot be used to directly communicate with the Tentacle Sync network. You would need third party devices to enter the network. If you have further questions about how the Bluetooth sync works for a F3, please contact Zoom for support.
We cannot guarantee the completeness or accuracy of information provided by third-party manufacturers, so we recommend that you contact these third-party manufacturers directly if you have any questions regarding their devices.