i once had similar problem as you, one of my tyre (rear right) easily losing air pressure like in every 7 to 10 days, always need to pump which i have no problem to do that (3 petrol station on my way home from office) for almost 5 months since it is my everyday car until one time i forgot to pump then go outstation (not using car, car left parked) for 3 days..after got back, tyre pancit already..it is troublesome to me at that time since i am already very tired after got back from long journey to change to spare tyres and go to the workshop..after checking the air is leaked from the previously patch area (patch cacing)..change to latex stick patch (this is my made up term) after that no problem until now

my advice is..just go to workshop and patch properly..u might regret later not doing this 15 minutes task when your tyre is really pancit