Cookie is saved, but when I send a request, I get an un-logged-in status - bash

Question

I am writing a script to save a website locally. Specifically, I am trying to download articles from a website while logged in. However, when I run the following command, it saves the website without logging in. cookies.txt has the proper information, probably "JSON=$(curl -b "cookies.txt" -c "cookies.txt" -s "${API}&page =$i")" seems to be the problem, does anyone know why this happens?
#!/bin/bash
curl -X POST -H "Content-Type: application/json" -c "cookies.txt" -d '{"login":"user_name","password":"password"}' https://note.com/api/v1/sessions/sign_in --cookie-jar cookies.txt
#info
NAME=somebody
API="https://note.com/api/v2/creators/${NAME}/contents?kind=note"
TOTAL_COUNT=$(curl -s $API | jq ".data.totalCount")
END=$(( $TOTAL_COUNT / 6 + 1 ))
echo "we will get ${NAME}'s articles"
for i in $(seq 1 $END); do
JSON=$(curl -b "cookies.txt" -c "cookies.txt" -s "${API}&page=$i")
IDS=($(echo $JSON | jq '.data.contents[].id'))
URLS=($(echo $JSON | jq -r '.data.contents[].noteUrl'))
IDS_COUNT=$(( ${#IDS[#]} - 1 ))
for j in $(seq 0 $IDS_COUNT); do
ID=${IDS[$j]}
URL=${URLS[$j]}
mkdir -p "note/${NAME}"
echo "ID: ${ID}"
monolith.exe $URL -s -o "note/${NAME}/${ID}.html"
done
done
echo "end"