Update HANDBOOK for new publish process

Author: MasterKale

HANDBOOK.md

@@ -39,28 +39,22 @@ Add entries to CHANGELOG.md for the packages determined in the step above.
 
 Commit these changes.
 
-### Step 4: Publish packages
+### Step 4: Create a git tag for the chosen version
 
-The following commands can be run from the root of the monorepo to build the respective package,
-then **publish it to both [NPM](https://www.npmjs.com/search?q=%40simplewebauthn) and
-[JSR](https://jsr.io/@simplewebauthn)**.
+Create a tag on HEAD for the new version number.
 
-#### Need to publish @simplewebauthn/browser?
+### Step 5: Push up `HEAD` to `origin`
 
-```
-deno task publish:browser
-```
+Don't forget to push up the new tag to `origin` too!
 
-#### Need to publish @simplewebauthn/server?
+### Step 6: Publish packages
 
-```
-deno task publish:server
-```
+#### Need to publish @simplewebauthn/browser?
 
-### Step 5: Create a git tag for the chosen version
+Navigate to https://github.com/MasterKale/SimpleWebAuthn/actions/workflows/publishBrowser.yml and
+**Run workflow** against **master**.
 
-Create a tag on HEAD for the new version number.
-
-### Step 6: Push up `HEAD` to `origin`
+#### Need to publish @simplewebauthn/server?
 
-Don't forget to push up the latest changes to `origin` when everything's been published!
+Navigate to https://github.com/MasterKale/SimpleWebAuthn/actions/workflows/publicServer.yml and
+**Run workflow** against **master**.