chore: Add header checker config to python library synth (#138)

Now that we have it working in [python-docs-samples](https://github.com/GoogleCloudPlatform/python-docs-samples/blob/master/.github/header-checker-lint.yml) we should consider adding it to the 🐍 libraries :)

Source-Author: Leah E. Cole <6719667+leahecole@users.noreply.github.com>
Source-Date: Mon Jan 25 13:24:08 2021 -0800
Source-Repo: googleapis/synthtool
Source-Sha: 573f7655311b553a937f9123bee17bf78497db95
Source-Link: https://github.com/googleapis/synthtool/commit/573f7655311b553a937f9123bee17bf78497db95
diff --git a/synth.metadata b/synth.metadata
index fd86311..16eedf9 100644
--- a/synth.metadata
+++ b/synth.metadata
@@ -4,14 +4,14 @@
       "git": {
         "name": ".",
         "remote": "https://github.com/googleapis/python-api-core.git",
-        "sha": "232dab0ad3ef2cca0edfe707d8f90ca0ea200ba2"
+        "sha": "5e8923f541b8482a05ab46554b108a2efcc615a9"
       }
     },
     {
       "git": {
         "name": "synthtool",
         "remote": "https://github.com/googleapis/synthtool.git",
-        "sha": "ba960d730416fe05c50547e975ce79fcee52c671"
+        "sha": "573f7655311b553a937f9123bee17bf78497db95"
       }
     }
   ],
@@ -21,6 +21,7 @@
     ".github/ISSUE_TEMPLATE/feature_request.md",
     ".github/ISSUE_TEMPLATE/support_request.md",
     ".github/PULL_REQUEST_TEMPLATE.md",
+    ".github/header-checker-lint.yml",
     ".github/release-please.yml",
     ".github/snippet-bot.yml",
     ".gitignore",