¿Cómo escapar de comas dentro de los valores CSV al importar la tabla a MySQL?

Estoy intentando importar un archivo CSV en una tabla de base de datos MySQL. Las filas CSV tienen el siguiente aspecto:

"00602"," ","42042","15590","0","0","0","35","9","67","1978","20608","21434","3.1","54700","11384","31.3","30.4","32","18.382809","-67.186759","0","PR","Puerto Rico","U","","787","AGUADA","URB SAN CRISTOBAL","AGUADA","003","72","4","N","0060","","","10380","","Metro","Aguadilla-Isabela-San Sebastián PR","Aguadilla PR MSA","","","","N","0","0","0","0","","0","0","0","0","0","322569","0","","","5456","415","9577","V17136"," "," ","",""
"00602"," ","42042","15590","0","0","0","35","9","67","1978","20608","21434","3.1","54700","11384","31.3","30.4","32","18.382809","-67.186759","0","PR","Puerto Rico","U","","787","AGUADA","COMUNIDAD LAS FLORES","AGUADA","003","72","4","N","0060","","","10380","","Metro","Aguadilla-Isabela-San Sebastián PR","Aguadilla PR MSA","","","","N","0","0","0","0","","0","0","0","0","0","322569","0","","","5456","415","9577","V17136"," "," ","",""

etc...

Como puede ver, los campos están encerrados entre comillas dobles y separados por comas. Sin embargo, algunas filas tienen comas dentro de los valores así (observe el último valor):

"00501"," ","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","40.81518","-73.0455","25","NY","New York","N","","631","HOLTSVILLE","I R S SERVICE CENTER","SUFFOLK","103","36","5","Y","5602","5380","408","35620","35004","Metro","New York-Northern New Jersey-Long Island NY-NJ-PA","New York-Northern New Jersey-Long Island","Nassau-Suffolk, NY PMSA","Northeast","Middle Atlantic","N","7","0","0","0","B","0","0","0","0","0","18640775","2807500","","","0","1","1","V13916","U"," ","New York-Newark-Bridgeport, NY-NJ-CT-PA","Nassau-Suffolk, NY"

Así se ve mi declaración de importación:

LOAD DATA INFILE '/file.csv'
REPLACE INTO TABLE zipcodes 
FIELDS TERMINATED BY ',' OPTIONALLY ENCLOSED BY '"'
LINES TERMINATED BY '\n';

Pero no funciona como se esperaba. Por ejemplo, la primera fila insertada tiene una columna con el siguiente valor:

Nassau-Suffolk, NY""00501

instead debería haber sido:

Nassau-Suffolk, NY

y00501 debería haberse insertado como el valor de la primera columna en la siguiente fila.

¿Cómo ajustar mi SQL para que funcione correctamente?

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