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/feat_add_data_parameter_to_processsingleton.patch

@@ -65,7 +65,7 @@ index 02d9eabfef9521722340739bf86df3dfc30018d7..af8639ebcc61d8081a12334f652a551d
  #if BUILDFLAG(IS_WIN)
    bool EscapeVirtualization(const base::FilePath& user_data_dir);
 diff --git a/chrome/browser/process_singleton_posix.cc b/chrome/browser/process_singleton_posix.cc
-index 5330402b1df783b8258b09d8e8dfc2cdf3819437..ab12ef7610f243f9cc0207d20fa55a133f0f85d3 100644
+index 7cd73bf6d1884bd9b38bcb33de009efb1da2add9..a7a441a24098dc95e71e871e776e2cd8dd3c0ea2 100644
 --- a/chrome/browser/process_singleton_posix.cc
 +++ b/chrome/browser/process_singleton_posix.cc
 @@ -608,6 +608,7 @@ class ProcessSingleton::LinuxWatcher