Do

.gitea/workflows/work.yaml

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+name: Build and push container image
+run-name: ${{ gitea.actor }} is building and pushing container image
+on: create
+
+env:
+  GITEA_DOMAIN: git.tesseslanguage.com
+  GITEA_REGISTRY_USER: tesses50
+  RESULT_IMAGE_NAME: tesses50/test-app
+
+jobs:
+  build-and-push-image:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v4
+      - name: Set up Docker Buildx
+        uses: docker/setup-buildx-action@v3
+      - name: Log in to registry
+        uses: docker/login-action@v3
+        with:
+          registry: ${{ env.GITEA_DOMAIN }}
+          username: ${{ env.GITEA_REGISTRY_USER }}
+          password: ${{ secrets. }}
+      - name: Build and push image
+        uses: docker/build-push-action@v6
+        with:
+          context: .
+          file: ./Dockerfile
+          push: true
+          tags: ${{ env.GITEA_DOMAIN }}/${{ env.RESULT_IMAGE_NAME }}:${{ gitea.ref }}

Dockerfile

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+FROM ubuntu:latest AS builder
+WORKDIR /src
+RUN apt update -y && apt install -y gcc
+
+COPY main.c main.c
+RUN gcc -o main main.c
+
+FROM ubuntu:latest
+WORKDIR /
+COPY --from=builder /src/main /usr/local/bin/main
+

main.c

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+#include <stdio.h>
+
+int main(int argc,char** argv)
+{
+    printf("42\n");
+    return 0;
+}