Passing a generic component to `as` fails

I've got a polymorphic button component that looks like this:

```tsx
import type {PolymorphicPropsWithoutRef} from 'react-polymorphic-types';

const defaultElement = 'button';

type ButtonOwnProps = {
color?: string;
};

type ButtonProps =
PolymorphicPropsWithoutRef;

function Button({
as,
color,
...rest
}: ButtonProps) {
const Element: React.ElementType = as || defaultElement;
return ;
}
```

Simple cases work:

```tsx
// ✅ Works

Two
;
```

… but when I pass a component to the `as` prop that is itself generic, I get an error.

```tsx
function Test({test}: {test: Name}) {
return <>{test};
}

// ❌ Fails

One
;
```

```
Type '{ children: string; as: ({ test }: { test: Name; }) => Element; color: string; test: "two"; }' is not assignable to type 'IntrinsicAttributes & Omit<{ test: "one" | "two"; }, "as" | "color"> & ButtonOwnProps & { as?: (({ test }: { test: Name; }) => Element) | undefined; }'.
Property 'children' does not exist on type 'IntrinsicAttributes & Omit<{ test: "one" | "two"; }, "as" | "color"> & ButtonOwnProps & { as?: (({ test }: { test: Name; }) => Element) | undefined; }'.ts(2322)
```

Can you provide some help for this use case @kripod? Thank you very much!

Start with the inline Button and generic Test reproduction in the issue and type-check the failing JSX example. Trace the polymorphic prop type used by Button, then verify that passing a generic component accepts its test prop and children without the reported TypeScript error.

Written by the indexing model from the issue text.