You can claim a 3000 loss, but you can use losses to offset your gains.
For example, Investor 1 has 10K of gains from 8 stocks, and 10K unrealized loss from BEHL. Selling BEHL today means you will pay zero taxes on your gains (net gain of zero). Buying back in at Jan 6 for roughly the same price means you have realized a benefit from your BEHL investment equal to the taxes you would have paid on your realized gains.
And now you have your old (hopefully) position back.
Not wasted trades. Risky trades.
Phloyd is correct here. The $3,000 constraint only applies when trying to take a loss against income other than capital gains (ie gains from stocks and other investment vehicles).
But, the big risk is the assumption that you can buy back BEHL (or any other stock for that matter) at roughly the same price. It may be a lot higher come January 6. Or, it may be lower and you get a double win. Anyway, if any of us could predict the market with great certainty we would be very rich and probably not be posting here on IB. :)