I have a question about omni layer and bitcoin double-spend. I'd be very grateful if someone answered on it.

Assume that I performed a transaction tx_1 in bitcoin network from address X to adress Y and one of the outputs and its amount(546 satoshi) of bitcoin were bound with N amount of omni asset(for example Tether). So I just send possession of omni asset from address X to address Y. Then I rebound this N amount of asset with another amount of satoshi, which I had had before I sent omni bound with 546 satoshi in tx_1 to this adress. And then I sent this amount of omni asset to another adress Z by performing transaction tx_2. Then due to any reason transaction tx_1 were cancelled(double-spend). And I have a question in this case omni assets will belong adress Z or X?