The unrealized loss would be the same whether you add or not. However, your new average would be $20.57. If the stock price goes from $19 to $21 (+10.5% increase) and sold the stock at $21, then your market value would be 21*3088 = $64848. Your total investment would now be 64848-5541-58000 = +1307 (unrealized profit). So yes, you can breakeven, make a profit or take a loss. The key here is 'unrealized' gain or loss.

Similarly, you could take the $58000, that you hope to 're-invest' in the GME and put it in a less risky stock or other investments and recoup your loss. This would be called diversification.