Keep in mind companies can still track you through fingerprinting, e.g. your browser window size.
This shows you how unique your fingerprint is: https://coveryourtracks.eff.org/ (named Panopticlick before).
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I tried the link & got an error saying the request size was too large.
So, private tab without opening a private window? seems useful
private window
Not quite. A private window in Firefox employs some additional tracking protection and disables some Add-Ons, AFAIR.