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You don't consolidate addresses, you consolidate UTXOs.
Your assumption is correct, you get 1 new UTXO every month, and at the end of the year you consolidate 12 UTXOs into 1.
The above is true if you use 13 different addresses, the same address for every UTXO or even a mix: it doesn't matter.
This site is excellent explaining Bitcoin: https://learnmeabitcoin.com/technical/transaction/utxo/