There are several types of fuel filters. These are terrible, rated at only 150 micron. These will pass fine sand size particles. Enough to clog pilot jets and such.
View attachment 52906
I prefer the see-through paper types like this. Normally much better filtering performance and you can see if you have trash in there.
View attachment 52907
Since it took you several tank washes to get it clean, no doubt everything downstream is filthy too. "After several reps it runs clean now".
And the poor slash not running. You used a whopping 14 dollar Chinese carb. Probably not for YOUR engine. How about trying real OEM Briggs parts? Pretty sure once bolted on it would run for another 40 years trouble free.
So you spent 14 sam-witches on a Chinamart carb. How much time did you waste messing with it? Trying to get the engine to run? How many forums asking for help? Bottom line how much is YOUR time worth to you? In other words you didn't save ANY money at all. Now you've wasted 14 smacks and several hours. Still need a proper carb.
Now you having a Snapper mower puts you high on my list. Get a good carb and we will be happy to help you out.
slomo