Use a platform below the door in the other room to jump through the door while aiming down, carrying upward momentum into this room. Hold down and back through the transition, to perform a momentum-conserving turnaround past the corner. In cases where the previous room has an extended door ledge obstructing the exit, the turnaround may need to be initiated before the transition, to avoid bonking the ceiling of the door frame.

Entrance condition:

{
  "comeInWithSidePlatform": {
    "platforms": [
      {
        "minHeight": 2,
        "maxHeight": 2,
        "minTiles": 27.4375,
        "speedBooster": true,
        "obstructions": [
          [
            1,
            0
          ]
        ],
        "note": [
          "This applies to Dust Torizo Room."
        ],
        "devNote": [
          "The jump could also be done with a shorter runway, with a tricky dash jump using run speed $4.0 or $4.1.",
          "But it wouldn't apply to any more rooms in the game."
        ]
      },
      {
        "minHeight": 3,
        "maxHeight": 3,
        "minTiles": 39.4375,
        "speedBooster": true,
        "obstructions": [
          [
            3,
            2
          ]
        ],
        "note": [
          "This applies to Metal Pirates Room."
        ]
      },
      {
        "minHeight": 2,
        "maxHeight": 2,
        "minTiles": 45,
        "speedBooster": true,
        "obstructions": [
          [
            3,
            0
          ]
        ],
        "requires": [
          "canInsaneJump"
        ],
        "note": [
          "This applies to Statues Hallway."
        ],
        "devNote": [
          "The momentum conserving turnaround requires a last-frame jump and has a 2-frame window for the turnaround."
        ]
      },
      {
        "minHeight": 3,
        "maxHeight": 3,
        "minTiles": 39.4375,
        "speedBooster": true,
        "obstructions": [
          [
            3,
            0
          ]
        ],
        "requires": [
          "canInsaneJump",
          "canBeVeryPatient"
        ],
        "note": [
          "This applies to Flyway."
        ],
        "devNote": [
          "The momentum conserving turnaround is double frame-perfect,",
          "requiring a last-frame jump before Samus would get caught on the door ledge,",
          "and a last-frame turnaround before Samus would bonk on the ceiling of the door frame.",
          "After jumping, the aim-down must be delayed at least 6 frames;",
          "being pressed at most 5 frames before the turnaround."
        ]
      }
    ]
  }
}

Requires:

"canCrossRoomJumpIntoWater"
"canTrickyJump"
"canMomentumConservingTurnaround"