just like what you are doing now, just keep applying logic.
do not hate it, tell yourself you like logic and it is a very vital function.
no need to play games like sudoku or rubik's cube, etc. Unless you actually like these games. Being an INTP i dislike math. and the above games mentioned. Yet i'm very logical thinker.
only logical game i like is chess. and some brain teasers.
I even watch more NF related stuff, alot more than the NT stuff.
Just don't forget there are many ways to develop your logic. find the one YOU actually like. and enjoy it. That is the fastest and the most effective way to develop your logic.