3 is kind of a small number of programs to apply to, but I'm sure there is a reason those are the programs you're specifically aiming for. I don't know what your chances are, but I wouldn't look into anything too closely right now since the first application deadline for many places isn't even here yet. I think everything in your application looks good, but your GRE scores might hurt you. If the adcomms are willing to look past that and look at the rest of your application, with good LoRs and statements, I think you'd be competitive. There are programs out there that weigh GRE scores more heavily than others do (some programs are planning to remove the GRE requirement all together), and I don't know which direction the programs you're applying to will go in. You might want to aim for schools where you have an excellent research fit who care about research experience/LoRs over a standardized test.
Anecdotally, I applied a few years ago with a 152V/149Q/3.5AWA. I applied to a range of programs. I had 4 years of research experience (both undergrad and working as a tech), GPA of 3.67, great LoRs and statements, so everything else looked good. I was outright rejected at the top tier programs I applied to, but 3 of the mid to low-tier programs I applied to offered me interviews. I didn't get in anywhere post-interview. Whether I botched the interview or they had to cut people based off of other aspects of their application (i.e. my GRE scores), I'm not sure. Either way, despite having abysmal GRE scores, I managed to get interviews somewhere.
This cycle I'm going in with a 152V/152Q/5.0AWA. My scores still suck, but I just suck at taking standardized tests in general. Sending positive vibes your way and best of luck with your applications! The wait is killing me too!
