Auto merge of #125864 - compiler-errors:opt-in-error-reporting, r=lcnr

Opt-in to `FulfillmentError` generation to avoid doing extra work in the new solver

In the new solver, we do additional trait solving in order to generate fulfillment errors, because all we have is the root obligation. This is problematic because there are many cases where we don't need the full error information, and instead are just calling `ObligationCtxt::select_all_or_error` to probe whether a predicate holds or not. This is also problematic because we use `ObligationCtxt`s within the error reporting machinery itself, and so we can definitely cause stack overflows:

https://github.com/rust-lang/rust/blob/a94483a5f2bae907bc898fc7a8d9cc87db47b693/compiler/rustc_trait_selection/src/solve/inspect/analyse.rs#L75-L84

So instead, make `TraitEngine` and `ObligationCtxt` generic over `E: FulfillmentErrorLike<'tcx>`, and introduce a new `ScrubbedTraitError` which only stores whether the failure was due to a "true error" or an ambiguity. Then, introduce `ObligationCtxt::new_with_diagnostics` for the callsites that actually inspect their `FulfillmentError`s.

r? `@lcnr`

Number-wise, there are:
```
     39 ObligationCtxt::new
     32 ObligationCtxt::new_with_diagnostics
      1 ObligationCtxt::new_generic
```
calls to each `ObligationCtxt` constructor, which suggests that there are indeed a lot of callsites that don't care about diagnostics.

clippy_lints/src/future_not_send.rs

@@ -79,7 +79,7 @@ impl<'tcx> LateLintPass<'tcx> for FutureNotSend {
                 let send_trait = cx.tcx.get_diagnostic_item(sym::Send).unwrap();
                 let span = decl.output.span();
                 let infcx = cx.tcx.infer_ctxt().build();
-                let ocx = ObligationCtxt::new(&infcx);
+                let ocx = ObligationCtxt::new_with_diagnostics(&infcx);
                 let cause = traits::ObligationCause::misc(span, fn_def_id);
                 ocx.register_bound(cause, cx.param_env, ret_ty, send_trait);
                 let send_errors = ocx.select_all_or_error();