Okay, maybe the old memory is not totally gone, yet!!!
Did not want to suggest too much about the deal until finding what you might be lacking on experience with these good old engines. But I might throw some ideas that may help later.
One is that there is likely to be a wingnut to unscrew on the cig filter cover. Unscrew, find a big filter that just lays under the cover, replace and screw the wingnut back, just snug, no need to kill it. Easy, peasy and does lots of really good things to keep dirt and everything from feathers to sand out of the engine, so very much a good first step as the engine does much better if it can gets LOTS of good clean air and maybe get the filter changed once you can't see through it pretty good.
Then the other big thing that you show is the label for hose routing and that hose tends to get brittle and break or leak and does all kinds of good things, so replace it when you see any getting hard and brittle.
Then to the right is a fitting with hose attached that has an item that may need checked once in a while to see that it is not stuck. Called a PVC (positive crankcase ventilation) that lets fumes from the crankcase be sucked into the carb to be burned again. If the engine is tending to wear and maybe burning some oil, this valve can stick. So wiggle around as you pull up on the hose and it should slip out of the rubber gasket and then shake it to make sure it rattles and is free to move inside. If it is too gunked up, cheap to replace and definitely worth it.
https://docable.com/pcv-valve-what-is-it/
NOTE:
I may have missed which hose for the PVC, so check the other as it looks more like it goes up to the filter housing???
ADD:
While the filter is out, try pulling the filter housing body up to get a look at the carb. body where you "might" get lucky and find the fuel filter screwed right there in the fuel line?? Not sure at all on that but worth looking for easy? Wrong carb and wrong filter for almost sure but maybe looking something like this?