is there a way to make internal ID global searchable on task record or any randmoized auto generated number for that matter?

create a custom field and make it global searchable

it's just internal ID that i need but it's not available to source

internal or external id is never been exposed to global search due to shear indexing volume dude

just wanted to confirm, that i am not missing the anything

If you install suitepreferences they have a global search where you can input any internal id and it will find it by record type for you. It's pretty amazing https://suitepreferences.com/