feat: add FFmpeg installation to Dockerfile for media processing

- Configured Dockerfile to install FFmpeg with support for various codecs and libraries.
- Optimized build process by cleaning up temporary files post-installation.

backend/Dockerfile

@@ -4,6 +4,23 @@ ENV PNPM_HOME="/pnpm"
 ENV PATH="$PNPM_HOME:$PATH"
 RUN corepack enable && corepack prepare pnpm@latest --activate
 
+ENV FFMPEG_VERSION=3.0.2
+
+WORKDIR /tmp/ffmpeg
+
+RUN apk add --update build-base curl nasm tar bzip2 \
+  zlib-dev openssl-dev yasm-dev lame-dev libogg-dev x264-dev libvpx-dev libvorbis-dev x265-dev freetype-dev libass-dev libwebp-dev rtmpdump-dev libtheora-dev opus-dev && \
+  DIR=$(mktemp -d) && cd ${DIR} && \
+  curl -s http://ffmpeg.org/releases/ffmpeg-${FFMPEG_VERSION}.tar.gz | tar zxvf - -C . && \
+  cd ffmpeg-${FFMPEG_VERSION} && \
+  ./configure \
+  --enable-version3 --enable-gpl --enable-nonfree --enable-small --enable-libmp3lame --enable-libx264 --enable-libx265 --enable-libvpx --enable-libtheora --enable-libvorbis --enable-libopus --enable-libass --enable-libwebp --enable-librtmp --enable-postproc --enable-avresample --enable-libfreetype --enable-openssl --disable-debug && \
+  make && \
+  make install && \
+  make distclean && \
+  rm -rf ${DIR} && \
+  apk del build-base curl tar bzip2 x264 openssl nasm && rm -rf /var/cache/apk/*
+
 FROM base AS build
 WORKDIR /usr/src/app
 COPY pnpm-lock.yaml pnpm-workspace.yaml package.json ./