Migrate to package:web v1.1.0 (#2530)

flutter_tools uses v1.1.0, so DWDS needs to support
that version before release. This includes:

- not using helpers.dart, which is deprecated.
- not using HtmlElement, which is deprecated.
- not using HttpRequest, which is deprecated, and
instead using package:http to do HTTP requests.
- passing a JS value to innerHTML as it now accepts
JSAny.

client.dart is recompiled with the same Dart version
used before.

Author: srujzs

dwds/CHANGELOG.md

@@ -10,6 +10,7 @@
 - Added `useModuleName` option to `MetadataProvider` to determine whether or not
   to use the provided `name` in a `ModuleMetadata`. Metadata provided by DDC
   when using the library bundle format does not provide a useful bundle name.
+- Migrate to `package:web` v1.1.0.
 
 ## 24.1.0