If I start private browsing, Firefox quits normal Firefox instance and switches to Private browsing.
So is there any way to stop firefox from starting private browsing without closing the normal Firefox instance running?
If I start private browsing, Firefox quits normal Firefox instance and switches to Private browsing.
So is there any way to stop firefox from starting private browsing without closing the normal Firefox instance running?
No, the way Private Browsing works by default is that it closes all tabs, saves them & switches to Private Browsing mode. An alternative would be to create a new profile & launch Firefox with that profile and switch to private browsing mode in that profile. That way, you can have both windows.
There used to an add-on which made both normal & private browsing possible, but this addon has been disabled now.
FWIW There's a bug report on this, you can follow it if you like.