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Having trouble with 3D rotations

I'm trying to make a 3d flight controller with a more arcade feel (think Ace Combat or Rogue Squadron). I'm somewhat new to working in 3d in Godot though and I don't really understand what methods I should be using to achieve this.

I want up and down to control pitch and left and right to be something of a hybrid roll/yaw. I'm setting direction to -transform.basis.z and multiplying that by speed, but when I use rotate_x() with the pitch, the plane itself rotates, but I only move flatly across the world plane rather than climbing up or down as I'm attempting to achieve.

What am I missing here?

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