mixing oil with petrol/gasoline should not affect the shelf life. in Australia we have petrol with methanol which has a short shelf life, then 91 octane straight petrol and 95 octane straight petrol which has the longest shelf life. after 6 months tip it in the mower even with oil in it in a 4 stroke mower.
Even though I don't like the way Americans mutilate the English language their use of the work gasoline is more appropriate than our use of the work petrol. the use of the shortened gas is confusing because a gas engine and a gasoline engine are two different things.