chore: bump chromium to 135.0.7035.0 (main) (#45764)

* chore: bump chromium in DEPS to 135.0.7028.0

* chore: bump chromium in DEPS to 135.0.7029.0

* chore: bump chromium in DEPS to 135.0.7031.0

* chore: bump chromium in DEPS to 135.0.7033.0

* Split //component/embedder_support:browser_util into multiple targets

https://chromium-review.googlesource.com/c/chromium/src/+/6246155

* chore: update patches

* build: update filenames.libcxx.gni

* 6275531: Enable Float16Array

https://chromium-review.googlesource.com/c/chromium/src/+/6275531

* chore: bump chromium in DEPS to 135.0.7035.0

* chore: update patches

* Move Service Process Host files to a separate folder

https://chromium-review.googlesource.com/c/chromium/src/+/6089368

* Remove NOTREACHED()s after return statements

https://chromium-review.googlesource.com/c/chromium/src/+/6297811

* Move ServiceProcessTracker and UtilityProcessClient into separate files

https://chromium-review.googlesource.com/c/chromium/src/+/6088677

* chore: update filenames.libcxx.gni

---------

Co-authored-by: electron-roller[bot] <84116207+electron-roller[bot]@users.noreply.github.com>
Co-authored-by: John Kleinschmidt <jkleinsc@electronjs.org>
Co-authored-by: Shelley Vohr <shelley.vohr@gmail.com>

patches/devtools_frontend/chore_expose_ui_to_allow_electron_to_set_dock_side.patch

@@ -10,7 +10,7 @@ to handle this without patching, but this is fairly clean for now and no longer
 patching legacy devtools code.
 
 diff --git a/front_end/entrypoints/main/MainImpl.ts b/front_end/entrypoints/main/MainImpl.ts
-index 1122bc10cd630f360debe53244647070c76d29b9..b3c704a2810eee191fbff9acacb56c6d8e39c864 100644
+index ab334c2440a468ab859952c408bdc2aa9387e705..d5627aaf1c53fb3332788b1c097ce47a89ba749d 100644
 --- a/front_end/entrypoints/main/MainImpl.ts
 +++ b/front_end/entrypoints/main/MainImpl.ts
 @@ -788,6 +788,8 @@ export class MainImpl {