I would definitely get some carb. cleaner and let it soak for a while. Unfortunately nobody makes a carb. kit for the YTM trikes. You have 2 options, buy each individual piece from your Yamaha dealer (costly) or buy a kit for a quad and use the gaskets and needle valve from it and buy any other parts from the dealer. I will check but I think it was the YFM250? that has the same gaskets and needle valve as the YTM, the valve itself cost more from the dealer then the whole kit would cost. I will check what model was AI used and let you know.
1984 Yamaha YT 60 Tri Zinger(current project)
1983 Yamaha YTM 200 (rear suspension kit)..... long term project
2004 BMW R1150R
1972 Honda CT 70
2007 Lifan 110