Start up Rust Module when Gatt Native is being init

This fixes the issue of connections failing when going to `ON` stage.
GattSerice is not started in `BLE_ON` so Rust Module that was depending
on GattNative is properly initialized only when GattService is started.

See go/scan-manager-refactor for more details.

Bug: 313335632
Bug: 267361243
Bug: 327503826
Bug: 343116685
Flag: com.android.bluetooth.flags.scan_manager_refactor
Test: m com.android.btservices
Change-Id: Iab8985070d59659048d541bd5200421516e7c2b9