there is no additional benefit beyond the $250,000 exclusion (single) of you move because of your work / job. You have met that exclusion because yuou have lived in your home at least 2 of the last 5 years.
The benefit you are questioning is for people that unexpectedly cannot meet the requirement of living in their home for 2 of the last five years because their job takes them elsewhere. Say someone bought a home in 2018 and one year later had to move because of their job AND have a lot of appreciation. In that case, the IRS provides pro-rata benefit against the $250,000.
BTW, don't forget to reduce your profit by your closing costs / realtor fees.... the calculation of profit is not as simple as 'what I paid for my house" less "what I sold my house for"