Hey Furio,
your basic specs (CPU, RAM) should be more than enough for most live VST requirements - not sure if you are using massive amounts of sample-based VSTi, which could result in some glitching.
What audio interface are you using (and what does your sample buffer look like)?
I’m definitely NOT doing any consultancy on audio PC configuration - there are people with a lot more knowledge around for that (plus my usual consultancy rates are far too high for that business 
) - and too many things that can go wrong…
I feel your pain re your gaming laptop - specs look really good from outside; unfortunately, good gaming performance is no guarantee for flawless audio behavior. I had an Acer Aspire Nitro as my first live laptop, and it ran solidly for years. Then I got another supposed gaming laptop from HP, and I could never get it to fully stop glitching. These days I have my live cube with a desktop processor plus a Schenker audio notebook - both do a very nice job.
If you are willing to spend serious money, you can get a customized audio laptop from the guys at Digital AudionetworX in Berlin - these are pre-customized for glitch-free operation. Unfortunately, their pages are German only, but happy to help
Cheers,
Torsten