Some big green buttons on gov dot uk websites don't work

Description of the issue:
There are big green buttons on many gov dot uk webpages, and sometimes these buttons don’t work. This URI is not the only one but I forgot what the other one was.

Exact URL of the website in question:
https://www.gov.uk/apply-renew-passport
(The “Start now” button)

Did the issue present with default Shields settings? (yes/no)
Yes

Does the site function as expected when Shields are turned off?
Sorry but I do not want to use this website with shields off.

Is there a specific Shields configuration that causes the site to break? If so, tell us that configuration. (yes/no):
I’m using:
Cross-site trackers blocked
Enabled upgrades to HTTPS
Scripts not blocked
Cross-site cookies blocked
Device recognition attempts blocked

Does the site work as expected when using Chrome?
Sorry but I do not have Chrome and I do not want to install it.

Brave version (check About Brave):
Version 0.70.123 Chromium: 78.0.3904.97 (Official Build) (64-bit)

I went through a few steps, clicking on the green button. Seems okay? If you disable just Cross-site trackers, does it help?