Make checks for compiler-generated types more specific (#89327)

Make checks for compiler-generated types more specific (#89327)

The only types we want to consider for the compiler-generated
state handling are lambda display classes, and state machine
types. We used to treat all types with compiler-generated names
this way, but this was too broad of a filter because it would
include file-scoped classes (which get names like
`<GeneratedConfigurationBinder_g>F86B5F805A26B32373DA5BA80136649730AD5F76CC2979BFEE086BEB55048B927__CoreBindingHelper`,
for the configuration binder source generator).