I'd like to grab a Great Engineer for Mining Inc too, so we should be mindful of our Great Person management, especially if we're at all planning to burn our current Great Merchant on a Golden Age (who is otherwise earmarked for Sid's Sushi). I'm fairly confident that we'll be OK, but there's that chance that things could go quite 'not as hoped', which is quite likely if we're going to be popping Great People out of Beijing where there's a lot of wonder-driven influence.
In terms of cultural pressure on Beijing, it does have a merged Great Artist, Library, and University, so I'd have thought it'd be at least 'OK' in that sense.
I didn't address it in the report, but I did run an Engineer in Uruk for a fair proportion of the turnset with Mining Inc or hurry on the Statue of Liberty in mind.
I guess, more generally, I think that we also need to work out (a.) if and when to attack Native America, and (b.) what to do - if anything - about the other/new continent.