feat!: upgrade next, react and react-dom, move react/next dependency checker from payload to next package (#8323)

Fixes https://github.com/payloadcms/payload/issues/8013

**BREAKING:**
- Upgrades minimum supported @types/react version from
npm:types-react@19.0.0-rc.0 to npm:types-react@19.0.0-rc.1
- Upgrades minimum supported @types/react-dom version from
npm:types-react-dom@19.0.0-rc.0 to npm:types-react-dom@19.0.0-rc.1
- Upgrades minimum supported react and react-dom version from
19.0.0-rc-06d0b89e-20240801 to 19.0.0-rc-5dcb0097-20240918
- Upgrades minimum supported Next.js version from 15.0.0-canary.104 to
15.0.0-canary.160

---------

Co-authored-by: PatrikKozak <patrik@payloadcms.com>
Co-authored-by: Jacob Fletcher <jacobsfletch@gmail.com>

test/admin-root/e2e.spec.ts

@@ -91,7 +91,7 @@ test.describe('Admin Panel (Root)', () => {
 
   test('ui - should render default payload favicons', async () => {
     await page.goto(url.admin)
-    const favicons = page.locator('link[rel="icon"]')
+    const favicons = page.locator('link[rel="icon"][type="image/png"]')
     await expect(favicons).toHaveCount(2)
     await expect(favicons.nth(0)).toHaveAttribute('sizes', '32x32')
     await expect(favicons.nth(1)).toHaveAttribute('sizes', '32x32')