ERROR: task `public` not found in turbo `pipeline` in "turbo.json" - next.js

Question

I tried to build my Next.js Commerce with Swell storefront integration. It uses turbo and the result of build is
ERROR: task public not found in turbo pipeline in "turbo.json". Are you sure you added it?
I looked at configuration options of turbo documentation, but I don't have any idea where to put public in turbo.json. I tweaked around with it for a while, but no chance to fix it myself.
/turbo.json:
{
"baseBranch": "origin/main",
"pipeline": {
"build": {
"dependsOn": ["^build"],
"outputs": ["dist/**"]
},
"next-commerce#build": {
"dependsOn": [
"^build",
"$COMMERCE_PROVIDER",
"$BIGCOMMERCE_STOREFRONT_API_URL",
"$NEXT_PUBLIC_SHOPIFY_STORE_DOMAIN",
"$NEXT_PUBLIC_SWELL_STORE_ID"
],
"outputs": [".next/**"]
},
"test": {
"dependsOn": ["^build"],
"outputs": []
},
"lint": {
"outputs": []
},
"prettier-fix": {
"outputs": []
},
"dev": {
"cache": false
},
"start": {
"cache": false
},
"types": {
"outputs": ["dist/**/*.d.ts"]
}
}
}
/package.json
{
"name": "commerce",
"license": "MIT",
"private": true,
"workspaces": [
"site",
"packages/*"
],
"scripts": {
"build": "turbo run build --filter=next-commerce..." ,
"dev": "turbo run dev",
"start": "turbo run start",
"types": "turbo run types",
"prettier-fix": "prettier --write ."
},
"devDependencies": {
"husky": "^7.0.4",
"prettier": "^2.5.1",
"turbo": "^1.2.16"
},
"husky": {
"hooks": {
"pre-commit": "turbo run lint"
}
},
"packageManager": "yarn#1.22.17"
}
/site/package.json
{
"name": "next-commerce",
"version": "0.0.1",
"license": "MIT",
"scripts": {
"dev": "next dev",
"build": "next build public",
"start": "next start",
"analyze": "BUNDLE_ANALYZE=both next build",
"lint": "next lint",
"prettier-fix": "prettier --write .",
"find:unused": "npx next-unused"
},
"sideEffects": false,
"dependencies": {
"#radix-ui/react-dropdown-menu": "^0.1.6",
"#react-spring/web": "^9.4.1",
"#vercel/commerce": "^0.0.1",
"#vercel/commerce-bigcommerce": "^0.0.1",
"#vercel/commerce-commercejs": "^0.0.1",
"#vercel/commerce-kibocommerce": "^0.0.1",
"#vercel/commerce-local": "^0.0.1",
"#vercel/commerce-ordercloud": "^0.0.1",
"#vercel/commerce-saleor": "^0.0.1",
"#vercel/commerce-shopify": "^0.0.1",
"#vercel/commerce-spree": "^0.0.1",
"#vercel/commerce-swell": "^0.0.1",
"#vercel/commerce-vendure": "^0.0.1",
"autoprefixer": "^10.4.2",
"body-scroll-lock": "^4.0.0-beta.0",
"clsx": "^1.1.1",
"email-validator": "^2.0.4",
"js-cookie": "^3.0.1",
"keen-slider": "^6.6.3",
"lodash.random": "^3.2.0",
"lodash.throttle": "^4.1.1",
"next": "^12.0.8",
"next-themes": "^0.0.15",
"postcss": "^8.3.5",
"postcss-nesting": "^8.0.1",
"react": "^17.0.2",
"react-dom": "^17.0.2",
"react-fast-marquee": "^1.3.1",
"react-merge-refs": "^1.1.0",
"react-use-measure": "^2.1.1",
"tabbable": "^5.2.1",
"tailwindcss": "^3.0.13"
},
"devDependencies": {
"#next/bundle-analyzer": "^12.0.8",
"#types/body-scroll-lock": "^3.1.0",
"#types/js-cookie": "^3.0.1",
"#types/lodash.random": "^3.2.6",
"#types/lodash.throttle": "^4.1.6",
"#types/node": "^17.0.8",
"#types/react": "^17.0.38",
"eslint": "^8.6.0",
"eslint-config-next": "^12.0.8",
"eslint-config-prettier": "^8.3.0",
"lint-staged": "^12.1.7",
"postcss-flexbugs-fixes": "^5.0.2",
"postcss-preset-env": "^7.2.3",
"prettier": "^2.5.1",
"typescript": "4.3.4"
},
"lint-staged": {
"**/*.{js,jsx,ts,tsx}": [
"eslint",
"prettier --write",
"git add"
],
"**/*.{md,mdx,json}": [
"prettier --write",
"git add"
]
},
"next-unused": {
"alias": {
"#lib/*": [
"lib/*"
],
"#assets/*": [
"assets/*"
],
"#config/*": [
"config/*"
],
"#components/*": [
"components/*"
],
"#utils/*": [
"utils/*"
]
},
"debug": true,
"include": [
"components",
"lib",
"pages"
],
"exclude": [],
"entrypoints": [
"pages"
]
}
}