It may help to perform the first jump with HiJump disabled.

Entrance condition:

"comeInRunning": {
  "speedBooster": "no",
  "minTiles": 4
}

Requires:

"canCarefulJump",
"HiJump",
{"disableEquipment": "HiJump"},
"canSpringBallBounce",
{"spikeHits": 3},
{"heatFrames": 350},
{"lavaFrames": 32}