perform 1-3 HTTP requests for each wheel using fast-deps

news/12208.feature.rst

@@ -0,0 +1,2 @@
+Implement lazier lazy_wheel that avoids the HEAD request, fetching the metadata
+for many wheels in 1 request.

src/pip/_internal/exceptions.py

@@ -325,12 +325,14 @@ class UnsupportedWheel(InstallationError):
 class InvalidWheel(InstallationError):
     """Invalid (e.g. corrupt) wheel."""
 
-    def __init__(self, location: str, name: str):
+    def __init__(self, location: str, name: str, context: Optional[str] = None):
         self.location = location
         self.name = name
+        self.context = context
 
     def __str__(self) -> str:
-        return f"Wheel '{self.name}' located at {self.location} is invalid."
+        suffix = f" ({self.context})" if self.context else ""
+        return f"Wheel '{self.name}' located at {self.location} is invalid{suffix}."
 
 
 class MetadataInconsistent(InstallationError):