Come in with blue speed, killing the lower two Pirates, with enough momentum to jump all the way up to the door.

Entrance condition:

{
  "comeInGettingBlueSpeed": {
    "length": 8,
    "openEnd": 1,
    "minExtraRunSpeed": "$6.9"
  }
}

Requires:

"canCarefulJump"
{
  "heatFrames": 90
}

Dev note: This can also be done with lower run speeds in specific ranges, namely between $2.0 and $2.1 or between $2.E and $3.1, but this would be much more difficult.