going to tell you how I would proceed, you can decide if you would, or wait for others advice..
get a blank mainspring arbor ( I used an old Sessions movement that I had designated as a parts movement, I turned the hook around on one arbor so I could do both left and right wind (used a propane torch, and heated it up, it turned very easy, do not overheat it).
Using the blank arbor, wind the springs up so you can get a retention spring on the edge, then reverse the procedure to re-install.
– make sure you leave a tab sticking out of the ring for winder tool to grab the tab.