How large can British America get?

Just British America, so basically all the territory that the British Empire had in North America prior to the Revolution, or the 1763-1776 timeframe?

How much larger can it get, assuming they take the rest of North America (OTL US and Canada), can they actually expand any further, say, into Mexico and maybe South America? Is that even possible? or probable?
 
I've read somewhere and will try to find a source they planned to attack New Orleans for the 1763 campaign season, and with both the little defenses there and Britain's general roll since 1758 it wouldn't surprise me to see Louisiana taken.

Spain and Russia would be too weak to contest Oregon, so even if Oregon is officially contested, you've basically all of the 1803 USA+Canada+Oregon Country as British.

Britain maybe could have kept Cuba if word got out in time Manila was taken and Spain kept that over Cuba.
 
Well if they want to have any serious transappalachian settlement, rp they are going to need to take New Orleans somehow. Pretty much every major river in the North American interior drains that way.
 
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