Binance, the world's biggest cryptocurrency exchange, worked on Friday to shore up public confidence after a record $6.3 billion hack of its ?platform, promising it would cover all losses from company funds and allow clients to trade again within days. Cryptocurrency ?prices fell ?on news of the hack, which analysts blamed on North Korea and said could be the largest financial heist of all time. The publicly traded stocks of crypto-related firms Coinbase, Strategy and Robinhood slid.Binance said customer funds were safe and it is working with industry partners to freeze some of the affected assets, with about $3 billion…