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No problemo. I missed it too till OP said it was a natural stone. ;)

Yes I had one that was that slow but I used it after an 8k not a 3k. Possibly correct use of slurry may speed it up but you have a learning process ahead of you.



The OP has a natural stone...

That Chinese 12k is a notoriously slow stone especially if you're trying to refine a 3k edge. I know Lynn & Glenn did the whole 1 stone honing trip with one but I'd bet it's not their preferred...

Welcome to SRP.
The problem with what you're asking is that no one hones razors this way AFAIK so most answers you get will be theoretical at best.
Adding something in the 5k-8k range before the 12...