Here is the property map of the Flamingo. Looks like there is no direct connection between the timeshare and casino. As
@Janann says above, it’s a quick walk along a nicely landscaped path to get to the casino.
Don’t know if you are looking just at The Flamingo or any timeshare with direct access to a casino but HGVC’s Elara has direct access to the Miracle Mile Shops which is connected to Planet Hollywood. You can find Elara on both RCI (HGVC units) and, to a lesser extent, II (Westgate units).