I am attempting to deploy my basic next.js app (code here) to google cloud run using a basic CI/CD pipeline. I have a dockerfile that works fine locally, and builds on GCP:

FROM node:18-alpine AS base

# Install dependencies only when needed
FROM base AS deps
RUN apk add --no-cache libc6-compat
WORKDIR /app

# Copy package.json and package-lock.json (if available)
COPY package*.json ./

# Install dependencies
RUN npm ci

# Rebuild the source code only when needed
FROM base AS builder
WORKDIR /app
COPY --from=deps /app/node_modules ./node_modules
COPY . .

ENV NEXT_TELEMETRY_DISABLED 1
RUN npm run build

FROM base AS runner
WORKDIR /app

ENV NODE_ENV production
RUN addgroup --system --gid 1001 nodejs
RUN adduser --system --uid 1001 nextjs

COPY --from=builder /app/public ./public

# Automatically leverage output traces to reduce image size
# https://nextjs.org/docs/advanced-features/output-file-tracing
COPY --from=builder --chown=nextjs:nodejs /app/.next/standalone ./
COPY --from=builder --chown=nextjs:nodejs /app/.next/static ./.next/static

USER nextjs

ENV PORT=${PORT:-8080}
EXPOSE ${PORT}

#CMD ["node", "server.js"] <- I have tried this as well
CMD ["npm", "run", "start"]

The issue is that that is all it does. Building is the only step (if i were to do this through firebase there would be multiple steps) and after completing the build nothing seems to actually deploy. And it just has the placeholder text: app url. I have set my (IAM) permissions correctly (as far as I can tell). What am I missing?

Please feel free to comment on any other relevant/useful information I could give.
Also: I know my dockerfile uses a lowercase d instead of an uppercase D, but I have it set correctly in GCP, and it clearly reads the dockerfile and does its contents

Edit:

I have added my trigger file as an image. Is my issue that I need a cloudbuild.yaml file?