Ok, English textbooks mostly teach the structure "Although / though",
for example,
Although my wife and I are so busy,we spend time together every weekend.
Anne was fond of Tim, though he often annoyed her.
However, in reality, I heard a lot of people use "though" at the end of a sentence.
So, I checked the dictionary & found that "Although" & "Though" in the above examples are conjunction.
But, from OALD, "Though" is used especially at the end of a sentence to add a fact or an opinion that makes the previous statement less strong or less important
Example:
Our team lost. It was a good game though.
But, for me, It seems that "Though" that is used at the end of a sentence is more popular than "Though" that is used at the start of a sentence.
Best Answer
First off, we must remember that "though" can be used as a conjunction and adverb, whereas "although" is a conjunction; it's never an adverb. So "although" and "though" are only interchangeable when they are used as a conjunction.
As a conjunction, "though" is much more common than "although" in speaking.
When used as a conjunction, "though" or "although" can be used at the start of a subordinating clause whether this clause comes before or after a main clause.
As for the "though" as an adverb meaning however, you usually use it at the end of a sentence.
In the sentence "It was a good game though" presented by the OP, the "though" has been used as an adverb.