If you future view the mole processing room it offers a hint.
If you want more precise:
Entering the processing room yourself puts Stinky's cell in the belongings bin. What happens if you teleport to it now?
If you keep on about loving Skunkape to Stinky he touches Max, so you can teleport him along with Max
Eneter the mole room so you can teleport into the processing room via Stinky's cell. Go tell grandpa how much you love Skunkape until he touches Max; teleport to Stinky's cell. The processing room will take Stinky's belongings and being on crew he can get out. Check the possession bin, oh look at that! Shot glass, homeing beacon and all your stuff!