Take a look at this link and see if you see your carb listed.
This might give you an idea how to work on the carb without ruining it.
I sometimes can just use a warm water and clean a carb and use a spray can carb cleaner to clean the passages.
Just a heads up about replacing the carb. Most generally generator carbs have a different choke system and a regular carb won't fit correctly and sometimes you have to use your old chole linkages on the new carb.
That BRIGGS engine has a model, type and code on it.
Post this info and the Name and model of the generator if you want us to give you some logical info?
https://outdoorpowerinfo.com/repairs/
Addition:
I NOW see that you have a no start issue
Attach a spark plug to the ignition wire and ground the plug good and see if it has spark. If no spark disconnect the low oil sensor and or the kill wire going to the OFF switch.
Post up the model, type and code of the engine. That is a very old model carb indicating you have a old model engine.
Older model 8 hp briggs used both points and later went to a electronic magnetron ign system. (electronic magneto) and the point system is easily converted to the newer ignition system usually.
Strange that removing and re-installing the carb caused a no spark or no run issue.
Apparently something you done wrong when re-installing the carb??????????