Is there a problem with this?
node-red-contrib-nbrowser (node) - Node-RED (nodered.org)
There are also several nodes that run Puppeteer instead.
And note that you could call your browser headless:
"C:\Program Files (x86)\Microsoft\Edge\Application\msedge.exe" --headless --disable-gpu --enable-logging --dump-dom https://nodered.org
Which works with Chrome as well - I think that Firefox has something similar.
By the way, this comes up often enough that it prompted me to write a new FAQ: