Stop + v-ing vs Stopped + v-ing

"As soon as jake officially stopped smoking" vs "As soon as jake officially stop smoking"

From what i found online:

-> Stopped + v-ing = to finish doing something that you do regularly or habit (is that correct?)
-> Stop + v-ing = _ _ _ _ _ _ _ _ missing exact meaning here, any ideas?

Google wasn't that useful to find the latter because "stop" is too common, but knowing English-language there will be a subtle difference between the two, so if any of you can walk us through this one it would be grandly appreciated.

Thanks

Furthermore, i did use "As soon as Jake officially stopped smoking" because of it's On-going connotation and would argue that it makes a difference with non-ing verbs that convey a lesser on-going state and instead focus on the moment in which the event was over.

So as a secondary question: Would the "state" of the situation matter? and for that we will need the full sentence which was: As soon as I officially stopped smoking

Officially-> emphasis on the "complete and irrefutable" halt
Stopped-> emphasis on the "on-going" halt
Smoking-> habit in question

Any thought?