ci: announce release after it's published

It's no longer working because workflows will not implicitly trigger from another workflow when initiated by the default token.

You must explicitly call them via a `workflow_dispatch` or use a distinct PAT.

The announce workflow isn't really used anywhere else so simplifying and consolidating the steps feels appropriate.

.github/workflows/release_announce.yml

@@ -1,24 +0,0 @@
-name: 📢 Announce Release
-
-on:
-  release:
-    types: [published]
-
-jobs:
-  announce:
-    if: github.repository == 'PCSX2/pcsx2'
-    runs-on: ubuntu-latest
-    steps:
-      - uses: actions/checkout@v3
-
-      - uses: actions/setup-node@v3
-        with:
-          node-version: 16
-
-      - name: Announce Release
-        env:
-          DISCORD_BUILD_WEBHOOK: ${{ secrets.DISCORD_BUILD_WEBHOOK }}
-        run: |
-          cd ./.github/workflows/scripts/releases/announce-release
-          npm ci
-          node index.js

.github/workflows/release_cut_new.yml

@@ -184,3 +184,15 @@ jobs:
           TAG_VAL=$(git tag --points-at HEAD)
           echo "TAG_VAL=${TAG_VAL}"
           gh release edit ${TAG_VAL} --draft=false --repo PCSX2/pcsx2
+
+      - uses: actions/setup-node@v3
+        with:
+          node-version: 16
+
+      - name: Announce Release
+        env:
+          DISCORD_BUILD_WEBHOOK: ${{ secrets.DISCORD_BUILD_WEBHOOK }}
+        run: |
+          cd ./.github/workflows/scripts/releases/announce-release
+          npm ci
+          node index.js