How to make a certain double cartesian product with jq?

Suppose I have this dataset:

{"id": 99, "labeled_values": [["one", "green"], ["two", "red"], ["three", "blue"]], "flavors": ["hot", "cold"]}{"id": 100, "labeled_values": [["four", "green"], ["five", "red"]], "flavors": ["hot"]}

and I would like this output (tab-separated):

99 one green hot99 two red hot99 one green cold99 two red cold100 four green hot100 five red hot

This code (from here) works without the flavors:

$ cat tmp/foo.ndjson | jq -r '[.id] + .labeled_values[] | @tsv'99  one green99  two red99  three   blue100 four    green100 five    red

Here is a failed attempt to add the flavor. It concatenates all the flavors, not one at a time.

$ cat tmp/foo.ndjson | jq -r '[.id] + .labeled_values[] + .flavors | @tsv'99  one green   hot cold99  two red hot cold99  three   blue    hot cold100 four    green   hot100 five    red hot