And the rest are super trivial.
Sudoku + Step 1:
Step 3: Now we have come to the exciting part, with some dilemmas... I guess we need to take a leap of faith soon.
Step 4: Assume T at Row3Col5, which leads to H at Row3Col2. Yellow would lead to contradiction on Col5. So yellow is false....
I must have missed the trick somehow. You can fill in a few 1/2/3/4s straight away. After that there are only two spaces left in the top right, which are 8/9 in some order. I tried the one that seemed to give most information, hoping to get a contradiction and eliminate it. After that I just followed my nose - you can get the rest of the 8s, then the 6s and ...