Yes, but make sure you're aware that Monday and Tuesday are Thai holidays. So you'll need to be fast.
You can pre-fill most of the application on the e-visa website. Then as soon as you enter Laos (I would go Tuesday) upload your entry stamp in your passport and submit your application. Then first thing Wednesday morning (I'm talking EARLY, because they will have been closed for 4 days, there will be a lot of people there), go get in line at the embassy to make the payment for your application. They accept payments from 9-11 AM.
You will not be notified. It's your responsibility to count the days.
There is an automated system that might e-mail you 90-days after you do a TM47 report, but it's unreliable. Some people get the reminder and some do not. And it does not know your travel history, so if you leave Thailand you will still get the notification even if you're not in the country.
They ARE the admin.... and what fear? This is the reality of today. You just have to read the dozens of reports across many Facebook groups and other online communities.