Boki, what did you do to his cage to "fix" the bar-spacing issue?
As ParrotGenie and others mentioned, you CANNOT PUT CHICKENWIRE OR OTHER METAL MESH OVER/AROUND THE CAGE UNLESS IT IS STAINLESS-STEEL!!! ANY OTHER TYPE OF METAL CHICKEN-WIRE OR MESH WILL KILL YOUR BIRD IF HE CHEWS ON IT AT ALL!!1
Birds are extremely sensitive to ALL heavy-metals, including Nickel, Iron, Lead, anything that is "Galvonized", Zinc, etc. All of these will kill your bird if he chews on them, as it only takes a couple tiny, itty-bitty little specs in his GI Tract to poison him...And trust me when I say that the treatment for a bird with Heavy-Metal Poisoning will cost you a hell of a lot more at the Avian Vet than a new cage the same size will!!! They have to do something called "Chelation", which means they give your bird a substance orally that will bind the metal inside/throughout his GI Tract and carry it out of his body in his feces while keeping it from being absorbed into his bloodstream while on it's trip through his GI Tract...And they have to do many, many x-rays throughout the treatment to track where the metal flakes/specs are and to make sure the Chelation-Therapy is working, and you have to keep taking him back in to the Avian Vet every single day for a good month at least, every day giving him more of the Chelation solution and taking another x-ray...We're talking thousands of dollars to save your bird's life, or you simply have to euthanize him if you can't afford to do it, because dying from heavy-metal poisoning is terribly painful, and agonizingly long...
So if you went out and bought any type of chicken-wire, hardware-cloth, or metal mesh and wrapped it around your bird's cage bars, and it was made of ANY TYPE OF METAL OTHER THAN STAINLESS-STEEL, OR IT SAYS ON THE PACKAGE THAT IT'S "GALVONIZED", YOU MUST REMOVE IT IMMEDIATELY!!!
You suddenly just "fixed" the problem, and that's scary...You just suddenly posted "It's not a problem anymore!" after you said you were going to go out and buy "chicken-wire", and I have a bad feeling that's exactly what you did because you posted about doing it before anyone was able to tell you that chicken-wire is lethal to parrots unless is stainless-steel, and I myself have not seen any chicken-wire that was stainless-steel unless it was ordered online as a specialty product (and would be a lot more expensive at that, as all stainless-steel products usually are)...
So please don't just ignore us on this and keep your bird's cage wrapped in chicken-wire, hardware-cloth, or metal mesh that you know is not made of stainless steel, because that will end badly for you, unless you have thousands of dollars to pay an Avian Vet to treat Heavy-Metal Poisoning...And I don't think you do have that kind of money, because if you did you would have just purchased a new cage for your bird with appropriate bar-spacing...
The best thing I can tell you to do is to go onto Amazon.com and find an appropriately sized cage on there and just bite the bullet and buy it, yes it still needs to be the same overall-size, you cannot go smaller, but Amazon.com has fantastic deals on cages with free-shipping, which is HUGE when ordering a cage...eBay is another option as well...OR the other option that is probably the cheapest is to go onto your local Craigslist, as you can usually find tons of pre-owned/used parrot cages that are huge for very little money...People who no longer have a parrot but still have the huge cage usually just want to get rid of them because they're taking-up space in their garage or basement, so you can usually get the very best deals on Craigslist, even when you live in Hawaii (lots of pet parrots)...And then AFTER you get him into a new cage with the correct bar-spacing for him, then you can put the other cage onto Craigslist for sale and probably quickly recoup most of your money...You don't really have a choice here Boki, as the situation that you have with your Conure's cage is very dangerous and potentially fatal,
now for 2 different reasons, and the heavy-metal poisoning happens quite quickly and once it happens it's done Boki, you can't do anything at all about it once he gets even a couple of little specs into his crop, that's it, you'll either have to pay thousands of dollars to save his life, or you'll have to pay to euthanize him...and though this is very morbid I'm trying to put this into perspective for you, and I have to say it Boki, you can probably find a pre-owned/used very large cage with appropriate bar-spacing for him on your local Craigslist for the same price that it costs to have him Euthanized...just being a realist Boki, because I don't want to see your bird get sick with heavy-metal poisoning and then you'll be out thousands of dollars to treat him, nor do I want to see him break his neck in-between the bars!
Unfortunately you took-on the responsibility of bringing a parrot into your home and your family, and that means you are responsible for his health and well-being. And unfortunately you made a bad choice when you chose a cage for him...and it's not just that the cage is "a bit too small" or something like that, it's literally life-threatening to keep him in it...And the "quick-fix" you just made a snap-decision about running out and doing is unfortunately just as life-threatening...So you need to take responsibility for him and get him a new cage...and that doesn't mean a "new" cage, like I said, jump onto your local Craigslist and see what's out there, because I usually see dozens of used, large bird cages on Craigslist every time I look, and they're cheap!!! And you'll still be able to sell the other cage after you get him a new one that is safe and the correct size for him...You can't just forget about this one and leave that chicken-wire or whatever you put around the cage there...He very likely could have ALREADY chewed on it and ingested some of it...