With or without Takatora's knowledge? Probably at least not without his disapproval, since the Genesis Driver seems to be largely (if not mostly) designed for combat.

I bet that encouraging Kouta's heroics must be painful. It may be useful for her goals, but it puts the team in danger too.

Is it that the other Beat Riders are not worthwhile or that Gaim is the priority? Because yeah, if Yggdrasil's trying to avoid a panic, the belts in Project Ark would probably not be distributed by lottery (which makes it unlikely that they'd get them).