FWB Blocked Me. When to Reengage and How to Handle Potential Jealousy

https://postimg.cc/2qFV2b2c -> Click on image for clearer view TLDR: Hooked up with this girl a few times, then after three weeks of not meeting up, she blocked me. She asked if I had been with anyone else, I joked, then told her no (technically true, but I got a BJ), and she didn’t believe me. A few days before, she publicly commented on my IG story, which felt like a territorial move. Then she suddenly claimed she had a BF and that the sex was bad, which seems like BS since she was still hitting me up. She blocked me on IG, but I have her number—thinking about hitting her up in a month or two. Thoughts? This girl I hooked up with a few times over the span of a month blocked me after we hadn't seen each other for 3 weeks. I've attached screenshots showing our convo, so I'll just clarify a few things: We both agreed we shouldn't date (she's religious and I'm not), but she was always down for casual sex at hotels. She's on the younger side and is the type to play mindgames, and she admitted to me that she liked saying/doing things to see if she could get a reaction out of guys (e.g. accusing me of getting with another girl then saying she was joking) Just a few days before this, she commented on one of my IG stories so everyone could see, which leads me to think she was trying to "mark her territory." She asked me if I had fucked another girl since we last met up and I deflected by saying I got married a few times. She pushed again, so I told her no, which was the truth technically. I was about to but I didn't, and I received a BJ instead, but I could tell she didn't believe me (and she admitted as much, but tried to play it off as a joke) I imagine the boyfriend thing is a lie since I had suggested meeting up earlier in the week and she said she was busy with work instead of saying she had a BF. The sex was bad part also seemed to be a lie considering we hooked up multiple times and she was down + hitting me up to hookup up until this incident. Funnily enough, she was raving about the sex whenever we did hookup, so I think I must have pissed her off for her to come at me like that She's a very open girl, so I wonder if I should have just said yes, I'm getting with other women. I just framed me not hooking up with other chicks as a safety thing since we weren't using condoms, but I can see how me saying that probably made me seem more unattractive. At the same time, I saw how territorial she was getting and didn't wanna deal with that. It almost seems like a lose-lose situation, but I could see the argument that getting with other chicks makes you seem more attractive + if she thinks you're getting with other women, saying you're not just comes across as desperate to keep her around. Thoughts on all this? What should I do differently in a situation like this next time, especially if the girl keeps pushing for an answer? She blocked me on IG, but I have her #. I was thinking of hitting her up in a month or two. Thoughts?