Hmm... I would probably wait until 5 years after that incident to apply.
Another ironic thing is that carrying it all the time could make it more likely for you to get fined and/or detained for not carrying it. Because if you carry it all the time, it's more likely to get lost or stolen. Once lost or stolen, you don't have it available to carry with you. Then if you get stopped by ICE or COPS who ask for it, you can't show it to them because you don't have it, and you can't even say you have it in your house a few miles down the road. So you'll get shipped to a detention center with no easy way to get out.
If you lose it (I think that is very very remote, exactly the same possibility for GC to be destroyed or lost by home disaster if you leave it at home) you will apply for replacement and will have a receipt for that which you will carry it all time.