I’m unsure about the status of my question, how simple it is. Hopefully I’ve missed something really obvious. I will state the problem simply, following with my unsuccessful attempts at resolution:
Venerable Anālayo provides this slide in his third lecture on Mindfully Facing Climate Change:
AN 10.208 in SC is a different sutta (and I don’t have the Bodhi print version). 
The relevant text does appear on V Thanissaro’s old site:
and on his new site, albeit with a different number:
Nor is SC AN 10:196 the text that Anālayo is quoting.
So I tried the Dictionary of Pali Proper Names, but Brahmavihara Sutta isn’t listed there.
I also browsed through the whole of the Chapter of Tens on SC: unsucessfully.
Searching for text strings in Google or SC isn’t working, because different English translations have slightly different wording.
These questions are raised: What SC equivalent does Thanissaro’s 'AN 10.208 refer to, and why did he subsequent adjust the number of the Brahmavihara Sutta?
But mainly: Am I missing something obvious? Is there another group of suttas that shares the abbreviation AN?
Can someone suggest what I can do next to find to find this sutta on SC?
I thank you in advance for your help. 
(Also, renewed thanks to those who previously showed me some of the above search strategies. )
Obviously I was too fast in my browsing. 