Are you using one of those old, huge eLicensers? If so maybe you should buy the current model, I heard some people were having issues with the old ones, but the current model is more reliable and that might fix your issue if updating the eLicenser Control Center doesn’t help. If you’re using a 64 bit DAW you’ll probably want to buy jBridge too. Try that before buying a new dongle.
By the way which DAW software are you using? Have you tried running the VST in another DAW? I use the 64 bit version of Cubase Pro 8 and I can run both GA3 and GA4 without issues, even if they’re both running at the same time.