It didn't take very long to get a new improvement. After 26 min I got a 13.10, but I wasn't satisfied so I kept going as I knew I could do better. Luckily enough after grinding an additional 35 min (total 1h 1 min) I hit the sub 13s run! The next step for future runs is to optimize the top part, after the ice bounce. I need to learn to jump as early as possible, so I then land earlier than before, thus not wasting time for the platform to move down. It will be tough but we'll see what happens in the future.