feat(favicon): ability to have variant sync to logo

[AugustinMauroy]

Do we have the ability to update the favicon to the pride variant as well?

Originally posted by @MattIPv4 in #7861 (comment)

[AugustinMauroy]

The answer is no.
It is important to note that the API docs do not specify a favicon, so browsers use the one they find, which is probably the site's favicon.