There was one more rule—contestants weren't allowed to stop moving unless they were in combat. It didn't matter if you walked slowly or sprinted, as long as you kept moving, you were safe.
This was to prevent anyone from camping out inside buildings to avoid fights; while others could still sense your presence if they passed nearby, it would definitely reduce the chances of being challenged.
Felix chose to walk at a normal pace, taking his time to admire the massive architecture of Cliffspire