Coinbase migration of injective from ethereum to injective EVM

So I get the email today that says coinbase will no longer support ethereum based injective after July 23rd. They say they're going to migrate everything from ethereum network to injectives native network.

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From what I can tell injectives native network is cosmos. It seems to be available on my ledger as cosmos injective. It has the injective address beginning INJ.

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So once i transfer from my Ellipal to coinbase, and coinbase is done doing the migration, I should be able to directly transfer it to my ledger as injective native using the cosmos Network?

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Do I have this correct? Any advice on this?