Initial commit: sheepflix media streaming API

Go API for browsing/searching media files with ffprobe metadata,
token auth, and go-transcode integration for HLS streaming.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

Dockerfile

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+## Stage 1: Build go-transcode
+FROM golang:1.23-alpine AS build-transcode
+RUN apk add --no-cache git
+WORKDIR /src
+COPY go-transcode/ ./
+RUN if [ -f go.mod ]; then go build -o /go-transcode .; fi
+
+## Stage 2: Build sheepflix-api
+FROM golang:1.23-alpine AS build-api
+WORKDIR /src
+COPY go.mod go.sum ./
+RUN go mod download
+COPY cmd/ cmd/
+COPY internal/ internal/
+RUN CGO_ENABLED=0 go build -o /sheepflix-api ./cmd/sheepflix
+
+## Stage 3: Runtime
+FROM alpine:3.20
+
+RUN apk add --no-cache \
+    ffmpeg \
+    libva \
+    libva-intel-driver \
+    intel-media-driver \
+    mesa-va-gallium \
+    bash
+
+COPY --from=build-api /sheepflix-api /usr/local/bin/sheepflix-api
+COPY --from=build-transcode /go-transcode /usr/local/bin/go-transcode
+
+COPY entrypoint.sh /entrypoint.sh
+RUN chmod +x /entrypoint.sh
+
+EXPOSE 8090 8091
+
+ENTRYPOINT ["/entrypoint.sh"]