I like to think that the fourth teacher is in a school building adjacent to the current school, and that in Alice's final chase, you have to escape Alice and reach the fourth teacher by crossing a long rope bridge hanging between the two schools from outside the main building on the third floor very above the school alley. Before the final chase begins, she will scream, "N0!!! PL34S3!!! D0N'T L34V3 M3!!! D0N'T L34V3 M3!!! 1L'L D13 W1TH0UT Y0U!!! 1 D0N'T W4NT T0 60 84CK T0 831N6 4L0N3 46A1N!!! 1 W1LL K1LL Y0U 1F 1T M34AN5 Y0U'LL 5T4Y H3R3 W1TH M3 F0R3V3R!!!" Just like language level, you have to input several codes to unlock the door to the next building at the end of the bridge, but maybe they will be something else other than slider, but still time consuming to input. However, this takes up a lot of time and this also lets Alice catch up to you very quickly with the shortened time it takes for you to warp to your location by the late game. Bear traps will also be on the bridge.
Plot twist! In order to save you the time to input the codes, you actually have to pull out the rusty knife and cut the 2 ropes of the bridge from the other side, the side where the code-locked door is. The rope is thicker than a melon, so like Phonty's circular click-hold-drag motion of his wind-up handle, you'd have to click-hold-and drag the knife in a back-and-forth motion from left to right and back until the rope cuts (both ropes on your side need to be cut, not just one). the bridge will detach from your end with Alice still on the bridge. Alice won't be gone yet, as Alice will jump off from the bridge at the very last second and cling to the wall of the building right below you and climb her way up to catch you. Cutting the rope only buys you a few more seconds to input the codes, not ending Alice's life. Now with Viktor, he'll instantly cut the rope from the front end of the bridge once you've crossed it. Whether Alice is already on it or not, she will still jump and climb, even if she's not on the bridge yet. However, because the bridge is now cut from Viktor's end first, Alice will now be clinging to the half-collapsed bridge instead of the building wall. If you cut the last two ropes before she climbs up and reaches you, the entire bridge will completely fall off both buildings and Alice will have nothing to grab onto and save her, ultimately leading to her death as her poor crippled mangled corpse is left lying on the alley. You will now have infinite time to input the codes to meet the fourth teacher without a threat, only left with the burden of guilt from the great sin you committed. Viktor's final words to you before you go are, "Wait! My fellow student, there's one last thing I need to tell you before you go. No one can ever find out we did this. I never want to look back. So, as my order to you as a teacher, please, let's never speak of this again. No one can know. Promise me this." Oh, an if you think flash bangs are a simple overpowering alternative, think again, there will be loads of clustered bear traps during the final chase and on the bridge that will force you to sacrifice flash bangs to throw at Alice when she gets to close to you as you remove the many bear traps that cling to your feet, leaving you with one or no flash bangs left when you reach the final door.
Also, wouldn't it be funny if after you and Viktor murdered Alice, Viktor would ask you from the other building, "Before you go, answer me this. At what acceleration did Alice fall? Answer in meters per second if you wish to pass." You'd have to answer 9.8 m/s (units required) to be allowed to enter the next building, or else he will throw his axe at you from the other building and end your life after all the hard work you've done to get so far.