Transcribing music is always a work in progress. Every sheet put on the internet can be changed or questioned.

This online service converts a .wav file into midi. Interesting! But the result isn't satisfying at all.

• This is the beginning of the song:

• This is what the converting software 'hears':

• It is interesting to note that it sounds more as the original than you would expect, regarding the sheet.
It is weird, for example, that the computer only notates the overtones of the first f#, and not the f# itself. And with a very small velocity though, you barely hear it. (My old ears just don't).