Just install a de-googled Chromium fork (ungoogled-chromium or Brave), and create a separate browser profile for Google Drive? Then it doesn't matter if you have third party cookies enabled or not, your browsing data is completely isolated for your main profile. That's what I do for almost every proprietary web-app I use (Discord, youtube, shopping services, whatsapp web, f*cebook, etc.). The only issue is that the profile picker gets rather crowded, but to overcome that I wrote a rofi script that lets me launch chromium profiles directly