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I'm not entirely sure, you can create Random resources to test it with a local stack

I think it will be recreated since the resource urn will change.

You can use aliases to avoid this. Specifically, the `parent` property.

So if you're changing the parent of a ComponentResource from `this` to `this.newParent`, you'd have something like
```new MyComponentResource(name, {}, {
  parent: this.newParent,
  aliases: [{
    parent: this
  }]
});```

And for the special case where you're moving something with no parent to a parent, use `pulumi.rootStackResource` as the parent alias.

I also did a quick test and, if the parent name is not explicitly included in the child’s name, then changing parent has no effect, as long as the new parent component is of the same type as the old one (because that is part of the child’s URN).