A bit of good news: From your description, it sounds like your crack is not due to the foundation settling. If you had noticed larger cracks and such accompanying signs as sticking doors and windows, ...
Calcium in the bricks can react with carbonate to form calcium carbonate -- which along with guar gum serves as "both a filler and a cementing agent", thereby repairing the cracks, the authors said.
Brick walkway or patio mortar joints need to be almost level with the brick tops to avoid water damage, as well as deter unwanted plant growth. Repairing the mortar joints between walkway or patio ...