whoops, i kind of missed the fact that it was a custodial wallet... I did read OP tried to use binance accelerator, but i had no idear this also meanth he used binance as a wallet... I assumed binance was just offering a tx accelerator for the broader public (i'm not really familiar with the service offered by custodial services).
I think anyone should be able to binance transaction accelerator and using that accelerator doesn't mean OP sent the fund to binance.
I understood OP has sent the fund to binance from checking previous transactions of the receiving address.