TeeTotal Sudoku (Mini Sudoku Series #58)

TeeTotal Sudoku was part of the Sudoku Surprise test on the Logic Masters India website in November 2014 by David McNeill. In this test, there were all new Sudoku types and Teetotal Sudoku was one of these types. I could not create a 9x9 Sudoku at that time for this Sudoku variation. However, I tried creating a couple of 6x6 Sudoku puzzles. This is the first Sudoku of this type I am publishing here and another one I will be publishing soon.

I am posting this Teetotal Sudoku as the 58th Sudoku in Mini Sudoku Series. Can you solve this Teetotal Sudoku puzzle?

Rules of Teetotal Sudoku

In the completed grid each row, column, and 3×2 box contains the digits 1-5 and the letter T. The letter T can be orientated in any of the 4 cardinal directions. In addition, the digits in the 3 cells immediately adjacent to the arms of the letter T must add to the same total for each letter T.