While I don’t know of any games with a mechanic like this, I can give some hints for the third room in ROT13.
1. Qb lbh xabj gur hfr bs gur terra-naq-oynpx oybpx va gur frpbaq ebbz?
2. Orpnhfr bar “jnyy-raq” vf fghpx va gur pbeare naq nabgure vf fghpx ba gur evtug jnyy bs gur guveq ebbz, nal jnyyf trarengrq va guvf ebbz zhfg or nybat gur obggbz ebj, ohg guvf oybpxf gur tngr rkvg sebz gung ebbz. Gurer vf n jnl gb jnyx guebhtu n jnyy.
3. Gb bcra gur tngr bhg bs gur guveq ebbz (va gur obggbz yrsg) lbh bayl arrq gb trarengr 9 “jnyy” gvyrf.
4. Vg’f cbffvoyr gb gnxr gur “qbbe” sebz gur frpbaq ebbz vagb gur guveq ebbz vs lbh trarengr guerr jnyyf va gur frpbaq ebbz. Gnxr pner arire gb chfu gung qbbe oybpx ntnvafg gur fvqrf bs gur frpbaq ebbz.