No, please do not go out and buy another bird for your current bird, because you have no way of knowing whether ANY other Budgie or other species of bird will get along with Mikey, or vice versa. That's how bird's work when it comes to their relationships/bonding with other birds, very much like we as people work; they might bond closely with each other, they might like each other but not be close, they might not like each other at all but simply tolerate each other, they might hate each other and have nothing to do with each other, or they might be aggressive and violent with each other....So as already mentioned, NEVER buy a second bird FOR your current bird to be a companion, as you will probably not be able to house them together either, and then you'll just have another Budgie that is housed by itself...
***Something else you need to keep in-mind here is that Gout is a disease that is aggravated by stress tremendously, and Gout flare-ups are directly caused by stress. And birds obviously become very stressed very easily. So bringing home new birds is only going to stress him out and most-likely make the Gout worse, and then you'll have to have his Allopurinol dosage adjusted, and it becomes a big pain in the butt...
If you think your Budgie is "lonely", then their are 2 things that YOU AS HIS OWNER need to do for him: #1) Make sure that he always has at least between 6-10 different types of toys in his cage/play area at all times, and they all need to be rotated-out for new toys each and every month. Budgies LOVE all kinds of toys, they are the easiest parrot when it comes to them entertaining themselves, and also the easiest and cheapest when it comes to the types of toys they love, as Budgies love the cheap,
plastic bird toys, anything with a bell on it, and anything with a mirror on it. And in this situation I highly recommend that you get him at least one mirror, like one of those round, plastic mirrors that has a bell hanging from it that every pet shop sells, along with a swing (they love to swing), hanging plastic balls, any plastic bird toys with a bell on it that they can bang with their beaks, and hanging plastic rings that they can climb on and actually sit inside (they love to do this, and if you go to any baby toy section in Walmart or any other store, you can buy one of those large packages of different colored, plastic rings that interlock with each other and that you string together, and hang a string of them across his cage, my Budgies love to sit inside of those baby rings, and a huge package of like 20 of them costs less than $5 at Walmart in the baby toy section). Also, buying some of the smaller shredding toys they sell at Petco for $2.99 and $3.99, the ones made out of heavy paper/cardboard and that have a hemp loop that you can hang them from, so that he has something to shred/rip apart...They also love to forage for treats, especially millet sprays, Budgie's die for millet sprays, so you can make little cardboard boxes full of crumpled-up paper with little pieces of millet sprays hidden throughout the box for him to forage for...And the mirror in this particular situation should help a lot too...And then #2) YOU need to spend as much time with him as you possibly can, give him lots of out-of-cage-time each day, sit and talk to him, read to him, etc. He doesn't need another Budgie/Bird to be his friend and keep him busy and entertained as long as he's given the tools to entertain himself...
*****Also, something else to try, if you haven't already, is to put the other Budgie's cage right next to his cage. Even though she was "bullying" him when she was inside of the same cage as him, often they will get along wonderfully well, talk to each other all day long, and be wonderful companions and friend to each other if they are living right next to each other, but each keeping their own territory at the same time.