Again, this is an unnecessary step, but if you really like the sticker, go for it.
When you change your name for any reason, remember that your name must be the same on your plane ticket and your passport.
You should also keep in mind that the rules for updating your Global Entry account are the same whether you are simply renewing your passport or need to replace a lost passport.
Your passport renewal application is submitted directly to the passport office for expedited processing.
Read our Passport Renewal FAQs » Rush My Passport™ can expedite your expired or expiring passport online in as little as 24 hours.
It can take longer if more information is needed or your application hasn’t been filled out correctly.