Convert all dawn includes to use non-system include syntax.

This CL changes several includes which were using the system include
syntax to the local syntax. This causes GN check to verify that the
headers are specified correctly in the dependencies.

Two missing dependencies are added to the BUILD.gn file for the
Dawn tests.

Bug: dawn:1373
Change-Id: I7afd5ab48f4f2e2ddaf1839058c6bbeec2b97fd0
Reviewed-on: https://dawn-review.googlesource.com/c/dawn/+/86940
Kokoro: Kokoro <noreply+kokoro@google.com>
Reviewed-by: Corentin Wallez <cwallez@chromium.org>
Commit-Queue: Dan Sinclair <dsinclair@chromium.org>
Auto-Submit: Dan Sinclair <dsinclair@chromium.org>

generator/templates/dawn/native/api_dawn_native_proc.cpp

@@ -12,7 +12,7 @@
 // See the License for the specific language governing permissions and
 // limitations under the License.
 
-#include <dawn/{{metadata.api.lower()}}.h>
+#include "dawn/{{metadata.api.lower()}}.h"
 
 namespace dawn::native {
 

generator/templates/dawn/wire/WireCmd.h

@@ -15,7 +15,7 @@
 #ifndef DAWNWIRE_WIRECMD_AUTOGEN_H_
 #define DAWNWIRE_WIRECMD_AUTOGEN_H_
 
-#include <dawn/webgpu.h>
+#include "dawn/webgpu.h"
 
 #include "dawn/wire/BufferConsumer.h"
 #include "dawn/wire/ObjectType_autogen.h"

generator/templates/mock_api.h

@@ -19,8 +19,8 @@
 
 {% set Prefix = metadata.proc_table_prefix %}
 {% set prefix = Prefix.lower() %}
-#include <dawn/{{prefix}}_proc_table.h>
-#include <dawn/{{api}}.h>
+#include "dawn/{{prefix}}_proc_table.h"
+#include "dawn/{{api}}.h"
 #include <gmock/gmock.h>
 
 #include <memory>