Thank you, guys, for your advices!
I changed the interpolation implementations to have the 't' parameter being updated at every time segment (by using 't += delta * 0.2'), but this didn't solve the problem.
Then, I changed the interpolations with tweens, and this way, I messed up the whole game.
Now, I think this game needs to be made from the beginning, with the code being specially adapted to tweens.
This project has been a learning exercise for me: building a clone of an existing game, for learning purposes, in order to gain insight and experience of developing games.
For now, I will put this project on pause, and continue to develop a platform game (my own project) I started this summer.
So, I continue game development in Godot, but this time, on another project, on my own project.
Thanks again for the great explanations and knowledge sharing!