Add reCAPTCHA enterprise support and refactor invite flow (#35134)

GitOrigin-RevId: 4a4ebbd9e5ec55c3532a0cd3fa6c0feda3e2733c

services/web/types/exposed-settings.ts

@@ -37,6 +37,7 @@ export type ExposedSettings = {
   }
   recaptchaSiteKeyV3?: string
   recaptchaSiteKey?: string
+  recaptchaEnterpriseSiteKey?: string
   samlInitPath?: string
   sentryAllowedOriginRegex: string
   sentryDsn?: string

services/web/types/recaptcha.ts

@@ -8,4 +8,8 @@ export interface ReCaptchaInstance {
   render: (element: HTMLElement | string, config: ReCaptchaConfig) => string
   execute: (recaptchaId: string) => Promise<string>
   reset: (recaptchaId?: string) => void
+  enterprise?: {
+    ready: (callback: () => void) => void
+    execute: (siteKey: string, options: { action: string }) => Promise<string>
+  }
 }