Earlier quoted context omitted.
According to the NASA website there is fuel for 10 years, and the five years is just the "minimal" mission time for which it's tested. https://jwst.nasa.gov/content/about/faqs/faq.html#howlong
Question if anyone knows: ~9.5 years any reason to not push it out of orbit into space and continue to get signals back for years longer as it floats off? Like the voyagers?
So that fuel isn't used for going places, its for aiming the telescope and keeping it steady. Once the fuel is gone it can no longer control where its pointing. If you cant aim a telescope then its useless.