Simple i18n TS Template Literal Type safety

i18n.ts

const i18nData = {
  app: {
    title: 'My Application',
    description: 'A {type} example',
  },
  nav: {
    home: 'Home',
    profile: {
      settings: 'Settings',
      logout: 'Log Out',
    },
  },
  MESSAGES: {
    welcome: 'Welcome, {name}!',
    items: {
      one: 'You have one new message.',
      other: 'You have {count} new messages.',
    },
  },
  MESSAGE: [
    {
      welcome: 'Welcome, {name}!',
      items: {
        one: 'You have one new message.',
        other: 'You have {count} new messages.',
      },
    },
  ],
} as const;

type I18nData = typeof i18nData;

// Extract all possible dot-notation paths
type Paths<T, Prefix extends string = ''> = T extends object
  ? {
      [K in keyof T]: K extends string
        ? T[K] extends object
          ? Paths<T[K], `${Prefix}${K}_`> | `${Prefix}${K}`
          : `${Prefix}${K}`
        : never;
    }[keyof T]
  : never;

type I18nPaths = Paths<I18nData>;

const zero = 0;
const path = `MESSAGE_${zero}` satisfies I18nPaths; 
const one = 1;
const path = `MESSAGE_${one}` satisfies I18nPaths; // Wrong key



@Pipe({ name: 'translateKeys', standalone: true })
export class TranslateKeysPipe implements PipeTransform {
  transform(value: I18nPaths): string {
    return value;
  }
}