feat(logging): split GAPIC from the logging handwritten package (googleapis#8929)

* feat(logging): use @google-cloud/logging-api dependency

* fix: also go ahead and remove local proto files

* build: also don't try to build or bundle protos

---------

Co-authored-by: feywind <57276408+feywind@users.noreply.github.com>

Author: quirogas

handwritten/logging/.OwlBot.yaml

@@ -25,19 +25,17 @@
   "author": "Google Inc.",
   "main": "build/src/index.js",
   "files": [
-    "build/src",
-    "build/protos"
+    "build/src"
   ],
   "scripts": {
     "clean": "gts clean",
-    "compile": "tsc -p . && cp -r proto* build/",
-    "compile-protos": "compileProtos src",
+    "compile": "tsc -p .",
     "predocs": "npm run compile",
     "docs": "jsdoc -c .jsdoc.js",
     "fix": "gts fix",
     "prelint": "cd samples; npm link ../; npm install",
     "lint": "gts check",
-    "prepare": "npm run compile-protos && npm run compile",
+    "prepare": "npm run compile",
     "samples-test": "cd samples/ && npm link ../ && npm test && cd ../",
     "presystem-test": "npm run compile",
     "system-test": "mocha build/system-test --timeout 600000",
@@ -62,7 +60,8 @@
     "long": "^5.3.2",
     "on-finished": "^2.3.0",
     "pumpify": "^2.0.1",
-    "stream-events": "^1.0.5"
+    "stream-events": "^1.0.5",
+    "@google-cloud/logging-api": "^0.2.0"
   },
   "devDependencies": {
     "@google-cloud/bigquery": "^7.0.0",