Hi and welcome to Ninjette!
Can you fill us in on your bike’s previous maintenance and usage pattern before you let it sit for month?
What is total mileage?
Was it ridden daily?
Had valve-adjustment on schedule?
Any crashes or damage?
There are very few mechanics that know how to work on carbs and even fewer that knows how to do proper cleaning and refurb job. Do search here for “clean carbs ducatiman” to see threads with photos on what needs to be done.