[docs] Update esphome-docs references to esphome.io after repo rename (#16705)

.github/ISSUE_TEMPLATE/config.yml

@@ -2,7 +2,7 @@
 blank_issues_enabled: false
 contact_links:
   - name: Report an issue with the ESPHome documentation
-    url: https://github.com/esphome/esphome-docs/issues/new/choose
+    url: https://github.com/esphome/esphome.io/issues/new/choose
     about: Report an issue with the ESPHome documentation.
   - name: Report an issue with the ESPHome web server
     url: https://github.com/esphome/esphome-webserver/issues/new/choose

.github/PULL_REQUEST_TEMPLATE.md

@@ -16,9 +16,9 @@
 
 - fixes <link to issue>
 
-**Pull request in [esphome-docs](https://github.com/esphome/esphome-docs) with documentation (if applicable):**
+**Pull request in [esphome.io](https://github.com/esphome/esphome.io) with documentation (if applicable):**
 
-- esphome/esphome-docs#<esphome-docs PR number goes here>
+- esphome/esphome.io#<esphome.io PR number goes here>
 
 ## Test Environment
 
@@ -43,4 +43,4 @@
   - [ ] Tests have been added to verify that the new code works (under `tests/` folder).
 
 If user exposed functionality or configuration variables are added/changed:
-  - [ ] Documentation added/updated in [esphome-docs](https://github.com/esphome/esphome-docs).
+  - [ ] Documentation added/updated in [esphome.io](https://github.com/esphome/esphome.io).

.github/scripts/auto-label-pr/constants.js

@@ -35,6 +35,9 @@ module.exports = {
   ],
 
   DOCS_PR_PATTERNS: [
+    /https:\/\/github\.com\/esphome\/esphome\.io\/pull\/\d+/,
+    /esphome\/esphome\.io#\d+/,
+    // Keep matching the old esphome-docs name during the transition period
     /https:\/\/github\.com\/esphome\/esphome-docs\/pull\/\d+/,
     /esphome\/esphome-docs#\d+/
   ]