Trigger docs after release (#1069)

<!-- Reference any GitHub issues resolved by this PR -->

Closes #1045

## Introduced changes

<!-- A brief description of the changes -->

- Made `docs.yml` workflow reusable:
https://docs.github.com/en/actions/using-workflows/reusing-workflows
- Used `docs.yml` workflow as a step in `release.yml`

## Checklist

<!-- Make sure all of these are complete -->

- [x] Linked relevant issue
- [x] Updated relevant documentation
- [x] Added relevant tests
- [x] Performed self-review of the code
- [x] Added changes to `CHANGELOG.md`

Author: cptartur

.github/workflows/docs.yml

@@ -3,9 +3,8 @@
 name: Deploy mdBook site to Pages
 
 on:
-  # Runs on release
-  release:
-    types: [ released ]
+  # Allows using this workflow in other workflows
+  workflow_call:
 
   # Allows you to run this workflow manually from the Actions tab
   workflow_dispatch:

.github/workflows/release.yml

@@ -170,3 +170,12 @@ jobs:
         env:
           GH_TOKEN: ${{ secrets.GITHUB_TOKEN }}
           TAG: ${{ steps.create-release.outputs.computed-prefix }}${{ steps.create-release.outputs.version }}
+
+  deploy-docs:
+    name: Deploy documentation
+    needs: create-release
+    permissions:
+      contents: read
+      pages: write
+      id-token: write
+    uses: ./.github/workflows/docs.yml