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/gritsettings_resource_ids.patch

@@ -6,7 +6,7 @@ Subject: gritsettings_resource_ids.patch
 Add electron resources file to the list of resource ids generation.
 
 diff --git a/tools/gritsettings/resource_ids.spec b/tools/gritsettings/resource_ids.spec
-index bcc7aa7afbd8637a16b4f74a2149d7dc773b9d39..264773b0a47d888045ccb2b205bbfb8393b1c559 100644
+index 887146425378c061fedb49b9c1dfe009d8e25a83..1d51c7b6c26c6e7c72e4fb6d87af4533240f789e 100644
 --- a/tools/gritsettings/resource_ids.spec
 +++ b/tools/gritsettings/resource_ids.spec
 @@ -1185,6 +1185,11 @@