Appears maybe you have a Walbro LMT carb which is NLA.
You can see IPL at this link.
Here is a link for tips on rebuild/cleaning the Walbro LMT carb.
https://outdoorpowerinfo.com/repairs/
I recently bought a GOOD used Walbro LMT off of fleece bay for less than $20.
Those Walbro's are usually user friendly to clean and rework.
Hint. The first time you clean the Walbro do not try to remove the emulsion tube if the carb is the type that does not have the anti-backfire solenoid.. It requires a tight fitting hollow ground screwdriver of the gunsmith type and even then it may not come out, so only try removing the emulsion tube as a last shot attempt. (step #10, 11, 12 at the link)
A Nikki clone carb is available for that engine at a reasonable price. Some of those Briggs engines came out with the Nikki carbs.
Before tr-installing a cleaned carb replace the fuel hoses, add a Briggs fuel shutoff in-line petcock and a red Briggs in-line fuel filter AFTER the petcock.
Each time you go to store the engine turn off the petcock.
The old fuel lines are usually what causes a carb to get upset or re-contaminates a just cleaned carb due to sheeding or crud inside the old lines..