Thank you for the kind words.
Further to what I wrote above, I should point out that your 'free' domain registration is 'free' for as long as you continue to host at DreamHost.
Every year, just before your anniversary date, you will be given another domain 'credit' that you can use to renew your existing domain, or if you like, you can let that one lapse and register a completely new domain.
Note, I refer to it as a domain 'credit', but this 'credit' doesn't actually show up anywhere, the only way you will know that you have such a 'credit' is the price for purchasing or renewing a domain in the admin panel will be shown as $0.00.
I hope the above makes sense, it is getting a little late here in Australia and I really should be sleeping.
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