the engine flooded and shut off. the carb was leaking fuel out of the small hole it has on the side
Been there, dealt with that. :'(
Get an OEM shop manual, not an aftermarket!
As previously posted, time for a rebuild.
Order the complete carb rebuild kit for your outboard.
Remove carb from engine, keep track of what came from where.
Digital camera is useful as is a sheet of cardboard to set parts on/in.
I punch holes in the cardboard to hold the small screws for easy identification.
Soak the carb body and metal components in a cleaner, I use isopropyl alcohol.
Make sure all the brownish deposits are removed from the carb body, inside and out.
Clean all passageways, check with an ultrafine wire to verify no blockages.
Use compressed air to blow out all passages and to dry the metal parts.
Reassemble and replace all the gaskets, float, float valve.
Set float at correct setting per shop manual.