fix(mdx): allow failsafe analyze for mdxasset (vercel#7757)

### Description

For the `failsafe_analyze`, make it not failable by not bubbling up the
error - the error will be propagated by chunk generation anyway.

Closes PACK-2764

crates/turbopack-ecmascript/src/references/mod.rs

@@ -151,7 +151,7 @@ pub struct AnalyzeEcmascriptModuleResult {
 
 /// A temporary analysis result builder to pass around, to be turned into an
 /// `Vc<AnalyzeEcmascriptModuleResult>` eventually.
-pub(crate) struct AnalyzeEcmascriptModuleResultBuilder {
+pub struct AnalyzeEcmascriptModuleResultBuilder {
     references: IndexSet<Vc<Box<dyn ModuleReference>>>,
     local_references: IndexSet<Vc<Box<dyn ModuleReference>>>,
     reexport_references: IndexSet<Vc<Box<dyn ModuleReference>>>,

crates/turbopack-mdx/src/lib.rs

@@ -21,6 +21,7 @@ use turbopack_ecmascript::{
         EcmascriptChunkItem, EcmascriptChunkItemContent, EcmascriptChunkPlaceable,
         EcmascriptChunkType, EcmascriptChunkingContext, EcmascriptExports,
     },
+    references::AnalyzeEcmascriptModuleResultBuilder,
     AnalyzeEcmascriptModuleResult, EcmascriptInputTransforms, EcmascriptModuleAsset,
     EcmascriptModuleAssetType,
 };
@@ -163,9 +164,15 @@ impl MdxModuleAsset {
 
     #[turbo_tasks::function]
     async fn failsafe_analyze(self: Vc<Self>) -> Result<Vc<AnalyzeEcmascriptModuleResult>> {
-        Ok(into_ecmascript_module_asset(&self)
-            .await?
-            .failsafe_analyze())
+        let asset = into_ecmascript_module_asset(&self).await;
+
+        if let Ok(asset) = asset {
+            Ok(asset.failsafe_analyze())
+        } else {
+            let mut result = AnalyzeEcmascriptModuleResultBuilder::new();
+            result.set_successful(false);
+            result.build(false).await
+        }
     }
 }