Now there's a notifications subscription button in the website menu. You can find the same button under every comic page. It's just a pop-up thingy where I moved all the buttons for Discord, Patreon, etc etc. All sources listed there are completely free and I'm clarifying that because "subscription" can mean something paid.
Also in another coding rush I connected browser push notifications - see the first button in that list. They should work in all browsers including mobile ones (except for Safari - I don't really care though. If you're an apple device user, I'm sorry, but I doubt that the website even shows properly on that, and I've no way to check, lol).
To turn push notifications on and off you only need to need press the button. However, if you've blocked such notifications in your browser for all websites then nothing will happen (I mean, that's exactly what you wanted). So you need to look at your address bar and click the lock icon (or whatever it is that you have there) to the left of the address and allow notifications. It should work after that.
Of course, I need people to test this. I'll wait a couple of days to let more people subscribe and then I'll send a test message. What will the message be? Subscribe and you'll find out :)