How to make a character follow a dynamically generated Path2D?

Hey everyone, here's some context on the issue I'm running into:

I want to have my Player (a CharacterBody2D) follow a dynamically generated Path2D (which is generated on a specific input) to mimic a curve-shaped "dash". Here's the general approach I'm thinking of to accomplish this:

Here's the current tree structure of the project:

• Main
  • Player
  • bunch of textures
  • bunch of terrain

All of the script logic is in Player.gd (attached to Player node)

• When "dash" action is triggered, do a couple of set-up steps:
  • make a new Path2D node and assign it as child of the root level
  • make a PathFollow2D and attach it as a child of the newly created Path2D node
  • make a new Curve2D and assign it 4 new points (these will be the 4 points of a cubic bezier curve)
  • assign the new Curve2D to the "curve" field of the newly created Path2D node
  • make the Player a child of the newly created PathFollow2D node

Based on the above steps, I think the new tree should look like this:

• Main
  • bunch of textures
  • bunch of terrain
  • Path2D
    • PathFollow2D
      • Player

After the set-up steps are done, in physics_process we do the following:

• increment the progress of PathFollow2D by delta
• assign a progress to a variable "t" (used as the parameter for bezier curve calculations)
• get Player's current position on the curve using t
• get Player's next expected position on the curve using "t + increment"
• use the two above values to calculate the direction vector from the current position to the next expected position
• update Player's global "velocity" based on the direction vector scaled by a constant

When t reaches 1 (i.e. the character has finished moving along the entire curve), we do the following:

• move the Player back to where it started from, and delete the Path2D (and all its children), so the tree looks like this again:

• Main

  • Player
  • bunch of textures
  • bunch of terrain

Couple of questions regarding all of the above:

• Is this generally the right approach to have a character follow a dynamically created path?
• Does the bezier curve logic seem generally right?
• Does the approach of temporarily moving Player under the dynamically generated PathFollow2D and then moving it back under main make sense?
  - If the approach does make sense, how do we specifically accomplish this using the remove_child, add_child, reparent, get_parent, etc. functions?????

Would really appreciate some help here, I'll answer any follow ups ASAP!