Fill the squares with the right tetrominoes, so each tetromino contains numbers 1 to 4.
I think this is a valid pattern:
I haven't used any particular strategy here. I just started in the top left corner continued where I could place an unambiguous tetromino. When I was stuck, I waited until I could approach the spot from the other side and resolve the ambiguity. I didn't really have to backtrack, maybe I corrected the previously placed tetromino two or three times.
In other words: I'm not going to write a detailed solution with all the steps.
I hope I haven't made any obvious blunders here.
I think this works:
It took me a while to move everything to a google doc, because my image processing skills suck.
I tried to make the same form tetrominos the same color, but then I remembered that I'm color blind and forgot all the colors. Also it would get confusing when 2 shapes that are the same would be close to each other.
as a strategy, I started around (inside) the letters and marked the obvious ones. Then took it from there.