While this may be an uncommon pair of words in business writing, they are both used in speech fairly often so it is worth knowing how to spell both words.

fogy: person with old fashioned ideas and attitudes. Also spelt fogey and often used in a derogative way.
Jim was only 20 but his friends called him an old fogy.

foggy: murky, not clear, dull. Often refers to air when clouds are low
It was foggy when we climber out of our tents this morning.