I own an audi a3 with a 3.2 vr6 and quattro awd how much power could I make for around $1000? Willing to go up to as much as $3000 but 1k or below is ideal.

 

I think your options are very limited. NA engines are a lot more costly to tune as they require extensive modifications before they increase power dramatically.

The only tune I see within that price range is a stage 1. APR for example has one (I'm sure other reputable shops also have stage 1):
APR 3.2L VR6 ECU Upgrade
It's roughly 500 (currently on sale for a short time).

You can add an intake but that won't do much for power (sound, yes). Look for EVOMS or HPA intakes. Whatever fits the r32 mkv should fit yours

Last thing on the list would be an exhaust. Again not much HP but good sound. If you go for all of it you are probably looking at close to 2k (500 chip tuning, 300 intake, 1000 exhaust)

If you want to go crazy and have the money the next step is a turbo:
https://store.034motorsport.com/turb...2-stage-1.html