Creating a Google Document via the REST API v1 & PHP - php

Question

I've been exploring the various Document APIs and have settled on Google Docs API v1 to try to accomplish what I want.
What I want to accomplish:
Create A Doc
Dump some text into it
Place the doc into a G Suite Drive Folder
What I've got
All the respective relevant APIs enabled + Service Account Credentials (have used this with other Google Services just fine)
All of the Google API PHP stuff installed via composer
What I think is a method to correctly authenticate into the "Documents" REST API (please see below)
public function initializeDocs() {
// Create and configure a new client object.
$client = new Google_Client();
$client->setApplicationName($appName);
$client->setAuthConfig("$KEY_FILE_LOCATION");
$client->setScopes(['https://www.googleapis.com/auth/documents']);
$document = new Google_Service_Docs_Document($client);
$document->setTitle($title);
return $document; // Just seeing what get outputs
/*
...Getting Stuck here below is the code from Google's "Creating and managing documents" documentation
$document = new Google_Service_Docs_Document(array(
'title' => $title
));
$document = $service->documents->create($document);
printf("Created document with title: %s\n", $document->title);
After this....(can/will address in separate post, if possible)
1) Add content
2) Set document creator?
3) "Upload" / move to Drive folder location
*/
}
My issues:
I'm having a hard time finding/undersanding 'create' methods; Google's Creating and managing documents references the 'Documents Collection'
At least in the PHP library, I'm not seeing where I would find that (I searched the ~/vendor/google/apiclient-services/src/Google/Service/Docs directory and didn't see any 'create' method);
Could someone please point me in the right direction? Many thanks in advance!