TS Typings for TerminalService are incorrect

[Async0x42]

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Current behavior
TerminalService.emit('response', response); results in the following error: Property 'emit' does not exist on type 'typeof TerminalService'.ts(2339)

TerminalService.$emit('response', response); results in the following error: Property '$emit' does not exist on type 'typeof TerminalService'.ts(2339)

The definition included is:

declare class TerminalService {
    $on(action: string, fn: any): any;
    $emit(action: string, params?: any): any;
    $off(action: string, id: number): void;
    $subscribed(action: string): boolean;
}

However in the documentation there is no $. https://primefaces.org/primevue/showcase/#/terminal

It seems it was fixed in the docs here, but the typings are different. #548

Expected behavior
There would be no error.

Please tell us about your environment:
Windows 11, VSCode 1.61.2, pnpm, TS 4.4.3

• Vue version: 3.2.20

• PrimeVue version: 3.8.2