This link:
sublimetext.com/nightly

Brings me here:

And apparently the latest nightly is 2187. I do have a valid license, I just can’t find a download link D:

Thanks!

If you, like me, have underlined links disabled, it’s really hard to find them. But as C0D312 so helpfully pointed out (really, just using an image was brilliant!), the download links are the platform names.