Missing support for `Pick<>` and `Omit<>`

Whenever an interface is using the typescript features Pick or Omit, then we don't get any props from these interfaces/types.

In the case of an interface like this:

import { type LinkProps } from "next/link";

interface MyComponentProps
  extends Pick<LinkProps, "prefetch" | "replace" | "scroll" | "shallow"> {
  children?: React.ReactNode;
}

export const MyComponent: FunctionComponent<MyComponentProps> = () => {
  return <>My Component</>;
};

-> in this case it will only find "children" as prop.

import { type LinkProps } from "next/link";

interface MyComponentProps
  extends Pick<LinkProps, "prefetch" | "replace" | "scroll" | "shallow"> {
  children?: React.ReactNode;
}

export const MyComponent: FunctionComponent<MyComponentProps> = () => {
  return <>My Component</>;
};

The same with Omit<>:

import { type LinkProps } from "next/link";

interface MyComponentProps
  extends Omit<LinkProps, "prefetch" | "replace" | "scroll" | "shallow"> {
  children?: React.ReactNode;
}

export const MyComponent: FunctionComponent<MyComponentProps> = () => {
  return <>My Component</>;
};

Start by reproducing the reported TypeScript examples using Pick and Omit, checking the extracted props for each interface. The work is done when props inherited through both utility types are included alongside explicitly declared props.