I would presume for Britain?
It's funded by the public. So, presumably for the people?
BTW, check this one out >> https://www.adfontesmedia.com/media-bias-chart-3-1-minor-updates-based-constructive-feedback/
If the BBC deliberately peddle lies they will be in trouble. (They did occasionally during WW2 but not nearly enough to keep the Government happy). Its masthead says "Nation shall speak peace unto Nation" while Lord Reith said its purpose was to "inform, educate, entertain".
FOX News, Breitbart etc deliberately peddle lies. In many countries the media are totally controlled by the Government and will peddle lies, or more often simply not report something the Government does not like.
So the BBC is not a propaganda organisation if its purpose is to "inform, educate, entertain", and is a propaganda organisation if its purpose is defined by "Nation shall speak peace unto Nation".
Most media organisations are propaganda organisations (used to promote a political cause or point of view).
But for me it is more important that I still like the BBC and still think Breitbart and Fox are shit.
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propaganda
/prɒpəˈɡandə/
1.
information, especially of a biased or misleading nature, used to promote a political cause or point of view.
"he was charged with distributing enemy propaganda"
synonyms: information, promotion, advertising, advertisement, publicity, advocacy; More
2.
a committee of cardinals of the Roman Catholic Church responsible for foreign missions, founded in 1622 by Pope Gregory XV.