Learn the various paths to where you need to go and alternate them with the Tyrant on your tail. X across the Main Hall and between floors is an effective way to lose him. X is too close to get away from, you can 'bait' out his slow forward lunging punch by strafing him - as he is slow to recover and stand up from that attack, and can't stop you from passing until he stands back up straight.
X does not know your current location, he will begin patrolling most of the main hallways and the Main Hall, but rarely checks the smaller side rooms unless he already knows your location. With certain 'surround' audio setups, you can hear exactly where the Tyrant is in the building. X's footsteps if he's nearby, and consider yourself safe from him when you can't hear him. Here are some additional tips to avoid Mr.
Watchman's Room and Break Room Hall (1F).