build: migrate from gulp to ng-dev for running formatting (#36726)

Migrates away from gulp to ng-dev for running our formatter.
Additionally, provides a deprecation warning for any attempted
usage of the previous `gulp format:*` tasks.

PR Close #36726

package.json

@@ -29,7 +29,7 @@
     "//circleci-win-comment": "See the test-win circleci job for why these are needed. If they are not needed anymore, remove them.",
     "circleci-win-ve": "bazelisk test --build_tag_filters=-ivy-only --test_tag_filters=-ivy-only,-browser:chromium-local //packages/compiler-cli/... //tools/ts-api-guardian/...",
     "circleci-win-ivy": "bazelisk test --config=ivy --build_tag_filters=-no-ivy-aot,-fixme-ivy-aot --test_tag_filters=-no-ivy-aot,-fixme-ivy-aot,-browser:chromium-local //packages/compiler-cli/... //tools/ts-api-guardian/...",
-    "lint": "yarn -s tslint && yarn gulp lint",
+    "lint": "yarn -s tslint && yarn -s ng-dev format changed --check",
     "tslint": "tsc -p tools/tsconfig.json && tslint -c tslint.json \"+(packages|modules|scripts|tools)/**/*.+(js|ts)\"",
     "public-api:check": "node goldens/public-api/manage.js test",
     "public-api:update": "node goldens/public-api/manage.js accept",
@@ -167,11 +167,7 @@
     "firefox-profile": "1.0.3",
     "glob": "7.1.2",
     "gulp": "3.9.1",
-    "gulp-clang-format": "^1.0.27",
     "gulp-conventional-changelog": "^2.0.3",
-    "gulp-filter": "^5.1.0",
-    "gulp-git": "^2.7.0",
-    "gulp-tslint": "8.1.2",
     "husky": "^4.2.3",
     "inquirer": "^7.1.0",
     "jpm": "1.3.1",