Avoid creating tasks to install dependent requirements (#111048)

homeassistant/requirements.py

@@ -226,21 +226,28 @@ class RequirementsManager:
         if not deps_to_check:
             return
 
-        results = await asyncio.gather(
-            *(
-                self.async_get_integration_with_requirements(dep, done)
-                for dep in deps_to_check
-            ),
-            return_exceptions=True,
-        )
-        for result in results:
-            if not isinstance(result, BaseException):
-                continue
-            if not isinstance(result, IntegrationNotFound) or not (
-                not integration.is_built_in
-                and result.domain in integration.after_dependencies
-            ):
-                raise result
+        exceptions: list[Exception] = []
+        # We don't create tasks here since everything waits for the pip lock
+        # anyways and we want to make sure we don't start a bunch of tasks
+        # that will just wait for the lock.
+        for dep in deps_to_check:
+            # We want all the async_get_integration_with_requirements calls to
+            # happen even if one fails. So we catch the exception and store it
+            # to raise the first one after all are done to behave like asyncio
+            # gather.
+            try:
+                await self.async_get_integration_with_requirements(dep, done)
+            except IntegrationNotFound as ex:
+                if (
+                    integration.is_built_in
+                    or ex.domain not in integration.after_dependencies
+                ):
+                    exceptions.append(ex)
+            except Exception as ex:  # pylint: disable=broad-except
+                exceptions.insert(0, ex)
+
+        if exceptions:
+            raise exceptions[0]
 
     async def async_process_requirements(
         self, name: str, requirements: list[str]