Look, anyone can pick out a song by ear and put it on the internet. Doesn't meen its right. I've got the music from a book and I can read and I know Im right. The solo can be played with tapping, a lot of things can, but thats not the way Brownsound plays it and it would probalby be easyer for you to play it by using only left hand pull offs intead of sqeazing both your hands in between two frets.
Besides, watch the video again, you'll see that the part your tapping at isn't were he taps in the video, and you cant always go by what they do in videos anyway, half the time there guitar isnt even plugged in.(Who plugs in and goes to play in a pool anyway?)
Try playing it with no tapping, it'll be easyer for you, Im sure.