chore: bump chromium to 116.0.5829.0 (main) (#38726)

* chore: bump chromium in DEPS to 116.0.5823.0

* chore: update patches

* chore: bump chromium in DEPS to 116.0.5825.0

* chore: update patches

* chore: bump chromium in DEPS to 116.0.5827.0

* chore: update patches

* 4568811: Integrate Search Prefetch with Extensions.

4568811

* 4567511: [DevTools] Add recordCountHistogram API.

4567511

* 4507692: Delete base/guid.h

4507692

* 4589551: Convert some of /base to use ARC

4589551
Also:
4601769: Convert immersive mode controllers to use ARC
4601769

* [viz] Convert MaybeSizeInBytes() to take in SharedImageFormat

4594677

* 4564108: [BRP] Enable check_raw_ptr_fields for Mac

4564108

* chore: bump chromium in DEPS to 116.0.5828.0

* chore: bump chromium in DEPS to 116.0.5829.0

* chore: update patches

---------

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: John Kleinschmidt <jkleinsc@electronjs.org>

patches/chromium/expose_setuseragent_on_networkcontext.patch

@@ -33,10 +33,10 @@ index 0ab8187b0db8ae6db46d81738f653a2bc4c566f6..de3d55e85c22317f7f9375eb94d0d5d4
  
  }  // namespace net
 diff --git a/services/network/network_context.cc b/services/network/network_context.cc
-index f2ae2092be6042f48d50f690581dccff8a3e2566..81f3e8a29b721d66ef786ade7fac0b0852555421 100644
+index 0ffa0ec042bd59de5d28fad53dee2b6321d64b18..a6570cb144952a1bb7eca124bb4cbb33e249ef15 100644
 --- a/services/network/network_context.cc
 +++ b/services/network/network_context.cc
-@@ -1488,6 +1488,13 @@ void NetworkContext::SetNetworkConditions(
+@@ -1491,6 +1491,13 @@ void NetworkContext::SetNetworkConditions(
                                        std::move(network_conditions));
  }