Count number of occurrences of same value over multiple tables with different column names

this is the problem. I have two tables - ps5 and xbox:-

Now, I need to get the number of times of occurrences of each of the values in ps5_game and xbox_game spread over two tables, sorted in descending order. The values under id don't matter. The expected result is somewhat like this:-

This is what I have tried:-

(SELECT 
  ps5_game, COUNT(*) AS occ 
  FROM ps5 
  GROUP BY ps5_game
) 
UNION 
(SELECT 
  xbox_game, COUNT(*) AS occ 3
  FROM xbox 
  GROUP BY xbox_game
)
ORDER BY occ DESC

Now, the issue is that I do get the occurrences but this doesn't merge the occurrences of the same game. So, instead of GOW showing 4, I have the following:-

So, instead of adding the 1+3 from the two tables, it is being shown separately. Can anyone tell me how it can be achieved?

SELECT game, COUNT(*) AS occ
FROM (
  SELECT ps5_game AS game FROM ps5
 UNION ALL
  SELECT xbox_game FROM xbox
) as g
GROUP BY game
ORDER BY occ;

Output, tested on MySQL 8.4.3:

+------+-----+
| game | occ |
+------+-----+
| GTA  |   1 |
| PVZ  |   1 |
| COD  |   3 |
| UC   |   3 |
| GOW  |   4 |
+------+-----+