Knowing how to disconnect it is still only half of the job.. especially if the pipe is seized solid after 20 years
This took some serious patience..
First, the spring did not bulge at all. Had to use some picking tools to start cleaning it inside + plenty of WD40 slowly scraping some white/chalky material off there.
Also the provided rings were completely useless. Had to 3d print my own tool.
Once the spring ring finally started to move a little bit and I was able to put something in between I eventually managed to push my tool in and it clicked like in the video, but the pipe would not move at all even with the tool in place and spring expanded.
When I tried and applied force to twist it.. it started to twist the other pipe. This was pretty scary as I almost broke it..
Eventually after some time trying to twist it (very gently) and lots of WD40, it started to move a little bit.. back and forth.. eventually I was able to rotate the pipe 360 but still did not move out at all.. this really took more time than I expected as I did not want to break the other pipe but in the end I made it without damaging it! Some pics bellow:

That green stuff is completely shreded o-ring

Second o-ring snapped as well and 3rd one survived but it was damaged as well.

After I cleaned everything, even scraped all the hard/sealing stuff.

Testing new (generic) o-rings.. the green is the original one. In case I won't be able to get a hold of original ones.

Tools I printed.. first on the left is the original I found online.. the other 2 are my modified versions. The second one cracked the ring but broke in the process.. the black one finished the job ;)