Write SQL query to solve given problem: What is the average height of all the goalies born in the 70s who's a left shooting/catching dominant and to which team do the tallest player/s play for most recently?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT CAST(SUM(T2.height) AS REAL) / COUNT(*) FROM AwardsPlayers AS T1 INNER JOIN Master AS T2 ON T1.playerID = T2.playerID WHERE T2.height IS NOT NULL AND (T2.pos = 'LW' OR T2.pos = 'L/C')