Have I ruined my chances for laser?

I got a new tattoo a 3 days ago. Black ink/wrist. I panicked so much with regret, I started rubbing lemon juice, salt &then baking soda into the tattoo about a day or so after, I didn't rub it in too hard, but enough to have irritated it & made a few slight indents in my skin. I plan to have laser removal asap. But have I ruined my chances of having laser? I read if the ink is below the dermis, the laser won't reach it. By trying to damage the tattoo, have I pushed it further down in my skin ?

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