>>723735097
Wait, I know! The game you want is At Sixes and Sevens. or something. I have more ideas:

https://store.steampowered.com/app/3339280/From_Basement_with_Love/

https://store.steampowered.com/app/3756940/The_Ratline/

https://store.steampowered.com/app/2458980/Dimhaven__The_Lost_Source/

https://store.steampowered.com/app/3367540/Code_Loopbreaker__Escape_Room/

https://store.steampowered.com/app/2459030/Locator/

Other games that might be more like birdcage or might be enjoyable:

https://store.steampowered.com/app/3622370/Trick_Eight/

https://store.steampowered.com/app/2494030/Zenoken/