Best way to negotiate salary after getting job offer?

Had my third and final interview with a company today and it went well. Well enough where if I had to guess, there’s probably like a 70% chance they make me an offer.

I previously told the HR person what my desired salary range was and she didn’t act like it was a problem. I’m just curious how/if I should push it if the offer is on the lowest end of the range I gave.

Obviously I wouldn’t have gave the range I did if I weren’t ok with it. So I would still accept something that falls in it. But should I try pushing for something higher just to see what they say?

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