If you are using Davinci YRGB Colour Managed, then if the input media has been correctly recognised (from its file name and/or metadata), OR you've manually told Resolve what colour space the media is in (groups can be useful for this I believe), then Resolve will automatically replicate what an input CST is doing in the Colour page, so no need to add one.
Similarly it will also do what an output CST would do to get you to Rec 709 - so no need to do that either.
This should mean you can just grade in the Color page without worrying about input and output colour space conversions I think. Using Davinci Colour Management is - I think - designed to avoid you having to do input and output CSTs in the Colour page - it manages that for you.
I'm just getting started using DaVinci for grading - and have found these YouTube channels incredibly helpful :
All three say roughly the same thing in different ways - one may explain it in a way that is better for you than others. Some people prefer the control they get through doing their own colour management using CSTs in the Colour page, others prefer letting Resolve do it.
The important thing to separate in your head is what you do in the colour page for creative grading vs what you can (but don't need to if you use colour management) do in the colour page for conversion from camera colour space and conversion to display colour space.
(The other thing is to remember that you're going to be far better off letting Resolve do the initial conversion from camera colour space to your grading and/or display colour space than trying to do that manually by eye in the colour page.)