Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE dorm (student_capacity INTEGER)
TABLE: CREATE TABLE student (age INTEGER, stuid VARCHAR)
TABLE: CREATE TABLE lives_in (stuid VARCHAR, dormid VARCHAR)
TABLE: CREATE TABLE dorm (dormid VARCHAR, student_capacity INTEGER)

### Question ###
Find the average age of students who are living in the dorm with the largest capacity.

### Accurate SQL ###

SELECT AVG(T1.age) FROM student AS T1 JOIN lives_in AS T2 ON T1.stuid = T2.stuid JOIN dorm AS T3 ON T3.dormid = T2.dormid WHERE T3.student_capacity = (SELECT MAX(student_capacity) FROM dorm)