So, you have explored a section of the mansion and placed the tile for the new room you have unveiled... the app then states 'you may move into the room'...
What if the room your in contains a monster? do you need to evade it or can you just ignore it and move away?
You would already know the answer this this because you should have performed the Evade Check before you revealed the new room.
RR, Page 8 wrote:
If an investigator in a monster’s space attempts to move out of the
monster’s space voluntarily or perform any action other than the
attack action or move action, that investigator must resolve an
evade check against the monster in his space.
So if you wanted to perform an Explore Action while a monster was in the same space, you would have to resolve an Evade Check first.