chore: bump chromium to 116.0.5845.0 (main) (#38827)

* chore: bump chromium in DEPS to 116.0.5835.0

* chore: update patches

* chore: bump chromium in DEPS to 116.0.5837.0

* chore: bump chromium in DEPS to 116.0.5839.0

* chore: bump chromium in DEPS to 116.0.5841.0

* chore: bump chromium in DEPS to 116.0.5843.0

* Update patches

CLs that affected printing.patch:
- 4616791: Refactor PrintViewManagerBase::PrintNow()
  4616791
- 4602776: Make PrintNodeUnderContextMenu operation go through PrintViewManager
  4602776

* 4506614: geolocation: Add LocationProvider::FillDiagnostics
4506614

* chore: bump chromium in DEPS to 116.0.5845.0

* chore: update patches

* fixup! 4506614: geolocation: Add LocationProvider::FillDiagnostics 4506614

* 4609704: Remove gnome-keyring
4609704

---------

Co-authored-by: electron-roller[bot] <84116207+electron-roller[bot]@users.noreply.github.com>
Co-authored-by: PatchUp <73610968+patchup[bot]@users.noreply.github.com>
Co-authored-by: clavin <clavin@electronjs.org>

patches/chromium/fix_remove_caption-removing_style_call.patch

@@ -18,10 +18,10 @@ or resizing, but Electron does not seem to run into that issue
 for opaque frameless windows even with that block commented out.
 
 diff --git a/ui/views/win/hwnd_message_handler.cc b/ui/views/win/hwnd_message_handler.cc
-index a14b20dd969226d04634ea123601b61a8379c448..1b8be7cda1faadd1cd9db1535337a39e73f329fc 100644
+index bffa2e1e41f6e61135c6ec3627268d2fbd8783b9..90dd6487fdf438a61672a81f08b545742045944a 100644
 --- a/ui/views/win/hwnd_message_handler.cc
 +++ b/ui/views/win/hwnd_message_handler.cc
-@@ -1873,7 +1873,23 @@ LRESULT HWNDMessageHandler::OnCreate(CREATESTRUCT* create_struct) {
+@@ -1874,7 +1874,23 @@ LRESULT HWNDMessageHandler::OnCreate(CREATESTRUCT* create_struct) {
    SendMessage(hwnd(), WM_CHANGEUISTATE, MAKELPARAM(UIS_CLEAR, UISF_HIDEFOCUS),
                0);