Buy a carbine bolt disassembly/assembly tool.
While you CAN do the job without the tool, it's easier with the tool.
While the carbine bolt LOOKS like the M1-M14, it ISN'T.
In the M1-M14 you can just push the extractor in and out.
On the carbine you CAN'T, and attempting to do so will break the extractor or the extractor plunger.
The bolt tool holds everything in place, AND orientates and pushes the extractor plunger in place so the extractor can be slipped in place.
Without the tool, you lock the bolt in a vise and use punches and three hands
to hold the ejector assembly in place, and push the extractor plunger into it's hole while you insert the extractor, all the while keeping the plunger oriented the right way.
To quote an old saying: "Pay the two dollars". In this case...."Buy the bolt tool".