Sorry, but another clarification. You have to bend the rim back before you attempt any correction using the spokes. If the rim is bent to one side the spokes on that side will already be loose, the ones on the side away from the bend already tight, so one has to push it back somehow so that you can have both decent tension and useable trueness. If the spoke tension from one side to the other is wildly different the wheel will just fail again.

The technique varies depending on whether the bend is symmetrical or not and the preference of the person. Some do it with the wheel laced, some unlace completely, some push with their hands, others stand on the rim, and some just wack it on a bench. The asymmetrical bends typically are dealt with by putting the wheel in some sort of slot-type opening and twisting in the opposite direction of the bend. I've done all of the above.

Nobody can tell you if you have enough experience and the right touch to bring back such a wheel with a combination of bending and spoke tensioning. You can try it to maybe save some money, or pay someone else to try. Depending on the shop they may say it's not worth it, may charge you even if the results are not good, or may agree to try without a charge if they can't get it to "AGAP" standards. Either way be prepared for the possibility of needing a new wheel.