As I do not see exactly what are you trying to do , in the moment I can think that this error accused because of your windows defender firewall, which do not allow access of your X-server.
anyway for me I use Puppeteer on wsl2 as following:

1. I need to install VcXsrc as X-server to display what is going on in the Linux side of the computer. https://sourceforge.net/projects/vcxsrv notes: you need to allow “Public networks” when the Windows firewall pops up.
2. You need now to set a DISPLAY environment variable has to be set,becuase wsl has its own IP address, we need to connect to our X-server app using this IP so to do this follow the next steps.
3. In your .bashrc (or .zshrc if you are using ZSH) add this line exactly to the end: export DISPLAY=$(cat /etc/resolv.conf | grep nameserver | awk '{print $2; exit;}'):0.0
4. now executes the content of your bash use source ~/.bashrc (or source ~/.zshrc if you are using ZSH)
5. to be sure that your DISPLAY environment variable has set correctly , try this command (echo $DISPLAY) the result should be something like this : # 172.16.210.1:0.0 it will be your wsl IP address.
6. now Open the VcXsrv program in Windows (called XLaunch), allow this options step after step “Multiple windows” and “Start no client”. and in the end tick the option of disable access control Be sure to disable access control.
7. as last check go to windows defender firewall and be sure that you enable all network connection for VcXSrv. now you are ready to go, let suppose I am using puppeteer to test inside jest file like the follwoing :
   const puppeteer = require('puppeteer'); test('should create an element...etc', async () => { const browser = await puppeteer.launch({ headless: false, args: ['--window-size=1920,1080'] }); const page = await browser.newPage(); await page.goto( 'www.google.com' ); });
   start the last code using (jest nameofyourtestfile) and your puppeteer will work as you like, Chromium will open in your windows ...enjoy...if there is any details which is not clear may you ask again. I hope that I helped