Cannot Resize Partition Even With Free Space Available

I have a 200 gig partition on 1 drive that I have dedicated for games. But now it is filled, and even after shrinking my C drive to make space, I find that I still cannot extend my games partition. I've done a little reading and it appears that the issue is due to the free space not being directly beside the Games partition. I'm not sure, exactly, all I know is, I want to install more games and this technicality is preventing it.

Another thing that makes the situation more complex is that I have 2 other partitions on my drive that belong to Linux Mint. One is the main Mint partition, the other is a swap partition (similar to the page/swap file in Windows). I'm hesitant to try to mess around with moving those partitions since I'm not very experienced with Linux and if it doesnt boot I know I'll just reinstall it instead of trying to fix it. But I would like to avoid that in the first place.

I have tried with Disk Management, EaseUS, Paragon, Partition Wizard and GParted in Linux but they all wont let me make the games partition bigger, only smaller.

What I would like to do is to find a way to add free space to the Games partition, but without deleting other partitions or having to reinstall Linux. And more importantly, figuring out how to handle this kind of thing now so that I wont have issues extending partitions in the future. I also just figured I would say that I've converted the Games partition from primary to logical, due to the limitation of 4 primary partitions on a drive (maybe I'm wrong , but that's what I've heard). I say this because I recently had 4 primaries before trying to install Mint and Ubuntu, and neither of them would let me install. But as soon as I reduced to 3 primaries the issue went away and I was allowed to proceed. I figured that out after a bit of reading.

It is possible to move partitions on a disk so that they will be adjacent (either to the left or right) to another partition that needs to be extended?

I'm also posting a screenshot to make it easier for people to understand. The 36 gig partition is Linux's main partition, and the 15 gig partition to the right of it is Linux's swap partition. The pic also shows that both of those lie between the C drive and my games.