Re: steel entry door - shave down?
Problem #1, cutting the door doesn't solve the issue, it will actually bring up another, more important one, how do you propose to weatherproof a door that is 3/4" higher than it's threshold? How do you raise the threshold without creating a trip hazard?
Problem #2, Being a condo, the association "owns" the door, which means you cannot change or modify it without their express permission. Taking on the association is not something for the faint of heart.
The much cheaper and easier solution would be to NOT cut the door and opt to make the tile fit the area better OR choose a different type of flooring that will work.
I suffer from CDO ... Its like OCD, but in alphabetical order, LIKE IT SHOULD BE!!!