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If this refers to supply of Bitcoin in circulation, yes. It includes all Bitcoin in circulation (hot wallets, cold storage, exchanges, utxos that have funds locked in the LN, the Bitcoin down the back of your couch, in Michael Saylor's and Nayib Armando Bukele Ortez's underpants.
If this refers to the Bitcoin that has been mined, then layer one Bitcoin chain only.
I think the only difference between bitcoin in supply and bitcoin that has been mined, is the bitcoin that has been provably burned (sent to addresses that can be verified as unspendable).
If Larry Fink claims to have 30 million bitcoin, it doesn't change the supply in my book. So, I think when you run gettxoutsetinfo on your node, it returns the actual circulating supply as the amount.
There's no difference. Same thing.
LN (the lightning network) is THE payment network of Bitcoin.
Only shitcoiners consider that LN is like a separate network from Bitcoin.
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Does this theory includes BTC LN network?