CrOS Settings: Convert peoples page sync from JS to TS

Bug= b:263413628
TEST=
1. Run:
    a. `autoninja -C out/Default browser_tests && DISPLAY=:20 out/Default/browser_tests  --gtest_filter="*PeoplePage*"`
    b. `autoninja -C out/Default webui_closure_compile`
2. Manual UI Test

Change-Id: Idc146f2acf4620efad059ae972c21d08489473e6
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/4201314
Reviewed-by: Xiaohui Chen <xiaohuic@chromium.org>
Commit-Queue: Nikki Moteva <moteva@google.com>
Cr-Commit-Position: refs/heads/main@{#1099600}

chrome/browser/resources/settings/chromeos/BUILD.gn

@@ -265,10 +265,7 @@ generate_grd("build_grd") {
 # TODO(crbug/1315757) Gradually remove closure compilation for subfolders/pages
 # that are migrated to TypeScript
 group("closure_compile_module") {
-  deps = [
-    ":closure_compile_local_module",
-    "os_people_page:closure_compile_module",
-  ]
+  deps = [ ":closure_compile_local_module" ]
 }
 
 js_type_check("closure_compile_local_module") {

chrome/browser/resources/settings/chromeos/os_people_page/BUILD.gn

@@ -17,9 +17,6 @@ js_type_check("closure_compile_module") {
     ":lock_screen",
     ":lock_screen_password_prompt_dialog",
     ":lock_state_behavior",
-    ":os_people_page",
-    ":os_sync_browser_proxy",
-    ":os_sync_controls",
     ":setup_fingerprint_dialog",
     ":setup_pin_dialog",
   ]
@@ -128,55 +125,6 @@ js_library("lock_state_behavior") {
   extra_sources = [ "$interfaces_path/quick_unlock_private_interface.js" ]
 }
 
-js_library("os_people_page") {
-  deps = [
-    ":account_manager_browser_proxy",
-    ":lock_screen",
-    ":lock_state_behavior",
-    ":os_sync_controls",
-    "..:deep_linking_behavior",
-    "..:icon",
-    "..:os_page_visibility",
-    "..:os_route",
-    "..:route_observer_behavior",
-    "..:router",
-    "//ash/webui/common/resources:assert",
-    "//ash/webui/common/resources:focus_without_ink_js",
-    "//ash/webui/common/resources:i18n_behavior",
-    "//ash/webui/common/resources:load_time_data.m",
-    "//ash/webui/common/resources:web_ui_listener_behavior",
-    "//ash/webui/common/resources/cr_picture:png",
-    "//ash/webui/common/resources/quick_unlock:lock_screen_constants",
-    "//third_party/polymer/v3_0/components-chromium/polymer:polymer_bundled",
-  ]
-  externs_list =
-      chrome_extension_public_externs + [ "../settings_controls_types.js" ]
-}
-
-js_library("os_sync_browser_proxy") {
-  deps = [
-    "//ash/webui/common/resources:cr.m",
-    "//ash/webui/common/resources:load_time_data.m",
-    "//third_party/polymer/v3_0/components-chromium/polymer:polymer_bundled",
-  ]
-}
-
-js_library("os_sync_controls") {
-  deps = [
-    ":os_sync_browser_proxy",
-    "..:deep_linking_behavior",
-    "..:metrics_recorder",
-    "..:os_route",
-    "..:router",
-    "//ash/webui/common/resources:assert",
-    "//ash/webui/common/resources:load_time_data.m",
-    "//ash/webui/common/resources:web_ui_listener_behavior",
-    "//third_party/polymer/v3_0/components-chromium/polymer:polymer_bundled",
-  ]
-  externs_list =
-      [ "//ui/webui/resources/cr_elements/cr_toggle/cr_toggle_externs.js" ]
-}
-
 js_library("setup_fingerprint_dialog") {
   deps = [
     ":fingerprint_browser_proxy",