From the /questions doc:
...use the tagged parameter with a semi-colon delimited list of tags. This is an
andcontraint(sic), passing tagged=c;java will return only those questions with both tags...
(Emphasis added)
If you want questions that have either tag, use the /search route (or /search/advanced).
For example:
/2.2/search?tagged=google-docs-api;firebase-database;android-sdk;google-drive-sdk...
As for why the API sometimes differs from the website search, that has been asked a few times both here and elsewhere. EG, see Why is there a difference between "questions" and "search" in API?.