Multisignature wallets - individual seed behavior

Good day to all

I have a specific question regarding multisig wallets. I've tried to research it but I could not find a concrete answer.

If I set up a 2/3 multi sig wallet, it would mean that I have 3 different seeds. Do all 3 seeds work together to produce public addresses? if I click receive BTC in any seed it will produce the same address that any of the other 2 seeds would have produced?

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Or each seed is also its own wallet? if it is like this, how does each seed know they also need to produce addresses for the multisig address?

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I hope I somehow made a litle sense.