You should use tax_query
for that. See official documentation here.
Try this:
$indicaArgs = array(
'post_type' => 'product',
'productType' => 'Indica',
'locationCity' => 'Los Angeles',
'posts_per_page' => -1,
'post_status' => 'publish',
'tax_query' => array(
'relation' => 'AND',
array(
'taxonomy' => 'productType',
'field' => 'slug',
'terms' => 'indica', // here should be slug
),
array(
'taxonomy' => 'locationCity',
'field' => 'slug',
'terms' => 'los-angeles', // here should be slug
),
),
'date_query' => array(
array(
'year' => $today["year"],
'month' => $today["mon"],
'day' => $today["mday"],
),
)
);