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@Tevin_Vore you’re supposed to give feedback on the most recent card before requesting feedback yourself. (You’re encouraged to give feedback on more than just the most recent card, but you gotta do at least that one.)
With regards to Blue Stone, it does not work as intended, for a variety of reasons. Firstly, attaching an aura/equipment to a permanent does not give control of it to the target permanent’s controller. Thus, in its current state, the second ability allows you to draw as many cards as you’d like as long as your opponents control at least two creatures. Additionally, given the wording of rule 508.1f, the third ability doesn’t prevent a creature from attacking, but instead provides pseudo-vigilance while turning off tapping it for costs.
Before I offer potential corrections, I’d like to mention that, while it looks fine on paper, your desired effect is broken in practice. Trade Secrets is banned in Commander because it does something similar. Effectively, if you can secure agreement from one other player (which could be established outside the game), the two of you can draw most or all of your libraries for minimal effort. (For example, if you had a Laboratory Maniac on the battlefield and cast Trade Secrets, you can ask your friend if you get to win the game.)
To have Blue Some work as intended, you’d need wording along the lines of the following (modified the third ability because there’s no way a full correction would fit on the card; might not have enough space anyway though):
When Blue Stone enters the battlefield, attach it to target creature you don’t control.
Whenever Blue Stone becomes attached to a creature, that creature’s controller may draw a card, then attach Blue Stone to target creature of their choice they don’t control.
Equipped creature can’t attack or be tapped.
With regards to Mindripper Adept:
With regards to your dragons: