10-days trip Qs

Hey all! Happy holidays!

Heading Japan in February 2024 – Tokyo (4 days), Kyoto (1 day), Osaka (4 days), Nara (1 day trip from Osaka), then back to Tokyo (1 day before departure)

Thinking of Osaka-Tokyo Hokuriku Arch Pass instead of full JR pass (cause must say it's a bit pricy). How do you think, would it be a good choice?

I understand that this pass would require us to follow the full arch in order to get back to Tokyo from Osaka, but i guess if we take Osaka -- Kanazawa train, and then shinkansen Kanazawa -- Tokyo, it's gonna be OK?

I'd appreciate your recommendation, it's our 1st trip to Japan!