[Fliko]

Personally I'd split practice into 3 phases:

1. Hanon's Finger Exercises, mistakes are unacceptable during practice, 'specially while doing these. Use a metronome and master each exercise. Start slow and work your way up.

2. Learn music theory, I'd burn through Mark Levine's 'The Jazz Piano' book, don't skip anything in that book including the little excerpts of songs.

3. Learn your favourite songs by ear (after you learn your favourites be diverse and learn other genres by ear), and pick one great musician you like to study to death. Learn all their songs by ear, every single note in every single solo etc.

If you want to learn piano quickly then make sure you practice everyday for a long time deliberately. If you want to learn piano extremely quickly then find a really good teacher and take lessons, often teachers are invaluable until you get to the point where you can give good self feedback.