TLDR: ex is pregnant with my kid, tryna rinse me for money by any means possible.

I broke up with my ex of 3 years about a year ago, got my own place and a steady career (25yo). We got drunk one night and fucked, she’s now pregnant. Now I know I fucked up here but my question is this-

She’s been saying it’s my fault we need to buy two of everything for baby, in the reason she has to pay more rent etc, she’s not letting me see her or keeping me informed about appointments and stuff, shit talking me to friends and family. She stated that I can’t see baby without paying my way - food/bills/rent at hers. Now I know this is entirely my fault being in this situation, but how would you guys damage control? Still want to be a father to the baby when she’s born without being financially screwed or having my reputation tarnished etc. She’s using the child as a weapon already and they’re not even born yet.. Any advice here is appreciated!