Profitability of the Osaka-Tokyo Arc pass

Hi,
Me and my partner planning a trip to Japan.
Our plan is:
3 days in Tokyo -> 4 days in Kyoto -> 3 days in Osaka -> 1 day in Tokyo

I thought about purchasing the JR Pass 'osaka-tokyo-hokuriku-arch-pass' but I can't figure out if this pass will be more profitable than just buying regular tickets throughout our trip.

I would like to to mention that from Tokyo to Kyoto and from Osaka to Tokyo we would like to ride on the Takaido-shinkansen bullet train. Is this train included in the pass?
Also, we would like to make a day trip from Kyoto to Amanohashidate, is that included in the pass?

please provide me with any help you can offer.
any help would be appreciated.