Clean up docs publishing flow (#11043) (#11051)

* Clean up publishing flow

* Update README

Co-authored-by: publish-docs.sh <maintainers@solana.com>
(cherry picked from commit 303a4df6ef)

Co-authored-by: Dan Albert <dan@solana.com>

docs/publish-docs.sh

@@ -0,0 +1,39 @@
+#!/usr/bin/env bash
+
+set -e
+
+if [[ -d .vercel ]]; then
+  rm -r .vercel
+fi
+
+CONFIG_FILE=vercel.json
+
+if [[ -n $CI_TAG ]]; then
+  PROJECT_NAME=docs-solana-com
+else
+  eval "$(../ci/channel-info.sh)"
+  case $CHANNEL in
+  edge)
+    PROJECT_NAME=edge-docs-solana-com
+    ;;
+  beta)
+    PROJECT_NAME=beta-docs-solana-com
+    ;;
+  *)
+    PROJECT_NAME=docs
+    ;;
+  esac
+fi
+
+cat > "$CONFIG_FILE" <<EOF
+{
+  "name": "$PROJECT_NAME",
+  "scope": "solana-labs"
+}
+EOF
+
+[[ -n $VERCEL_TOKEN ]] || {
+  echo "VERCEL_TOKEN is undefined.  Needed for Vercel authentication."
+  exit 1
+}
+vercel deploy . --local-config="$CONFIG_FILE" --confirm --token "$VERCEL_TOKEN" --prod