My employer uses gsuite and managing google cookies in a multi-login scenario is sufficiently annoying that I simply avoid using google services altogether.
Try using a browser that can better isolate your work account from your personal account. I recommend the latest firefox with site containers, but you could also use Chrome/Chromium and add a seperate profile for work (top right user icon > Manage people > Add person). This way, you will have separate windows for work/personal stuff with isolated histories and bookmarks.
I would go in that direction if I needed to but so far I simply haven't needed any google services that require a login.
I've read some horror stories about google pulling the plug on all accounts due to a billing conflict somewhere else in their ecosystem. That, together with the absolute PITA of managing multiple accounts pretty much ensures I will avoid ever paying to put my data in their hands.