To follow-up a little, it sounds like you're using the RStudio IDE via a web-browser, using rstudio.cloud or RStudio Server. In both cases, as Andres mentions, RStudio isn't keeping track of what's happening on other non-RStudio browser tabs.
The RStudio IDE also has a popular desktop version too, which also doesn't keep tabs on your browser tabs.
I will say, RStudio does regularly look into the contents of your soul and reports that back to the home office, but only to improve our products, and to make sure you're doing okay.