Convert base::Bind to base::Bind{Once,Repeating} in content/browser

This CL converts base::Bind to BindOnce or BindRepeating, and also changes
relevant base::Callbacks or base::Closures to appropriate types.

This CL is split from https://crrev.com/1831621.

This CL was uploaded by git cl split.

R=mlamouri@chromium.org

Bug: 1007760
Change-Id: Ic923e29d988364e6e5eb31ee37e5bc2c6d77d501
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/1849479
Auto-Submit: Makoto Shimazu <shimazu@chromium.org>
Reviewed-by: Mounir Lamouri <mlamouri@chromium.org>
Commit-Queue: Mounir Lamouri <mlamouri@chromium.org>
Cr-Commit-Position: refs/heads/master@{#704250}

content/browser/manifest/manifest_browsertest.cc

@@ -577,7 +577,7 @@ IN_PROC_BROWSER_TEST_F(ManifestBrowserTest, UseCredentialsSendCookies) {
   std::unique_ptr<net::EmbeddedTestServer> custom_embedded_test_server(
       new net::EmbeddedTestServer());
   custom_embedded_test_server->RegisterRequestHandler(
-      base::Bind(&CustomHandleRequestForCookies));
+      base::BindRepeating(&CustomHandleRequestForCookies));
 
   ASSERT_TRUE(custom_embedded_test_server->Start());
 
@@ -637,7 +637,7 @@ IN_PROC_BROWSER_TEST_F(ManifestBrowserTest, NoUseCredentialsNoCookies) {
   std::unique_ptr<net::EmbeddedTestServer> custom_embedded_test_server(
       new net::EmbeddedTestServer());
   custom_embedded_test_server->RegisterRequestHandler(
-      base::Bind(&CustomHandleRequestForNoCookies));
+      base::BindRepeating(&CustomHandleRequestForNoCookies));
 
   ASSERT_TRUE(custom_embedded_test_server->Start());