Advanced AI Prompt for Dynamic Gradient Mesh Shaders

Act as an Elite Creative UI Developer. Construct a pure GLSL fragment shader that mathematically generates a hyper-fluid, dynamic gradient mesh (mimicking the iconic Stripe landing page aesthetic). Hardcode an array of highly saturated `vec3` [COLOR_STOPS] and algorithmically blend them across the canvas utilizing three intersecting, multi-octave layers of 3D Simplex noise. Program the timeline progression using [FLOW_SPEED] multiplied against `uTime`, and warp the internal UV coordinates using an extreme [WAVE_AMPLITUDE]. Guarantee the bleeding transition between the color hexes maintains absolute [SMOOTHNESS] by enforcing quintic interpolation (`smoothstep`) to prevent color banding. Expose specific uniforms that accept mouse X/Y coordinates to physically push and dent the liquid mesh away from the user's cursor.