There is some mis-information in this thread. As a motorcycle & scooter rider that's fixed a lot of tubeless tires over hundreds of thousands of miles of riding, I would like to correct a few things posted.
In response to the OP, if the Buddy 50 has tubes, Clydeo is spot on. Patch or replacement of the tube is required
and removal of any debris in the tire that caused the puncture before re-installing.
In response to tubeless tire repair;
DeeDee posted a
great inside the tire type patch.
Naughty on you for using a bicycle patch first DeeDee. That patch was for tubes, not tires.
Stop and Go mushroom plugs do not vulcanize to the tire! This is a temporary repair intended to get you home or to the nearest repair shop where a real repair or tire replacement can happen. It's just a rubber plug in the hole.
@MJR, get that repaired ASAP or you will likely regret it at the worst possible time. Nothing keeps that plug in place except the head of the rubber plug. Tire cords can cut that over time, in as little as a few miles depending on the puncture, though clearly you don't have a sharp tire wire in your hole or you'd already have had it fail. They usually fail with rapid pressure loss when the plug pops out.
Sticky string kits like both ucandoit and Pastamassima posted will work just fine for quality tubeless scooter tires. They vulcanize to the tire becoming a permanent part of the tire and will last the life of the tire if done correctly. The CO2 cartridges might even fill the scooter tire, depending on size. I never rely on those for motorcycle tires as they lack the volume to do the job correctly. I carry a compressor for the motorcycles. If I did trips on the scooter, it would have one too. Small ones are cheap and can easily be made smaller by taking them out of the plastic case they come in.
There is a sticky string kit with thinner strings called Dynaplug. Stay away from these. They are marketed as a easy and compact kit, but the strings have a brass tip for easier insertion and they can't be twisted like the standard types because it's just one thickness of string, not two as the traditional strings are when inserted. I tried them several times and always had to re-do the repair with a traditional sticky string within a very short time at highway speeds. I have been told they work for very small hole repairs like a staple, rather than a nail or decking screw type puncture.
Cheap scooter tires are thinner than quality ones. The Avon Viper Stryke tires I currently have on my Buddy 150 are every bit as thick as a motorcycle tire. And the way the sticky strings work is by inserting the folded string, twisting and pulling the insertion tool back out. This leaves a 'knot' of the self vulcanizing string in the inside of the tire to help avoid it coming out, as well as the string in the hole permanently bonds to the hole.
If the hole is truly large, I will use an inside patch with the tail as DeeDee linked to. But for simple holes, the sticky string works well.
Note that you should always ream the hole prior to inserting the sticky string. This is required to clean the hole so the string can bond to the tire. Some kits do not come with a reamer, only an insertion tool. You can buy reamers separately too. Most auto parts stores carry these.
Proper reaming/cleaning of the hole and good technique in installing the sticky string is what makes for a successful repair.
Sorry for the long post. Just want people to be successful in tire repair and not feel like they have to toss an otherwise good tire.