Revert "Wait for state callback before ending constructor"

This reverts commit f1d39c38.

Reason: Creating crash on some early process and not really reducing
flakiness in intensive testing

Bug: 362049035
Bug: 357645528
Test: m Bluetooth
Flag: com.android.bluetooth.flags.broadcast_adapter_state_with_callback
Change-Id: I4e06a724ab52e5320a074411f8a4c2d5fe24e2e1