You have to pay the license duplicate fee to get another valid punch card for steel/sturg ect. Ask the dealer behind the computer for a "duplicate." It should print out as your #1 catch record card. #2,#3 and beyond say "not valid for steelhead and sturgeon" on them. $10 and your set.
I guess the wdfw expects you to be able to reproduce your previous tallies on the new one for the sake of data. (Identical to the tallies on the one you lost.)
Cheaper than loosing your drivers license though!