Dockerのコンテナ起動時に、fluentdをスタートしたいです。

 前提・実現したいこと

Dockerのコンテナ起動時に、fluentdが起動しているような状態にしたいです。
環境 python2.7のdockerイメージ

 発生している問題・エラーメッセージ

特にエラーは出てませんが、コンテナ起動時にfluentdが起動していない状態です。

 該当のソースコード

FROM python:2.7

# Install uWSGI
RUN pip install uwsgi

# Standard set up Nginx
ENV NGINX_VERSION 1.9.11-1~jessie

RUN apt-key adv --keyserver hkp://keyserver.ntzwrk.org --recv-keys 573BFD6B3D8FBC641079A6ABABF5BD827BD9BF62 \
    && echo "deb http://nginx.org/packages/mainline/debian/ jessie nginx" >> /etc/apt/sources.list \
    && echo "deb http://ftp.debian.org/debian jessie-backports main" >> /etc/apt/sources.list \
    && apt-get update \
    && apt-get install -y sudo \
    && apt-get install -y ca-certificates nginx=${NGINX_VERSION} gettext-base \
    && rm -rf /var/lib/apt/lists/*
# forward request and error logs to docker log collector
RUN ln -sf /dev/stdout /var/log/nginx/access.log \
    && ln -sf /dev/stderr /var/log/nginx/error.log
# Finished setting up Nginx




# Azure WebApp docker shh settings
RUN apt-get update \
 && apt-get install -y --no-install-recommends openssh-server \
 && echo "root:Docker!" | chpasswd \
 && mkdir -p /var/run/sshd
COPY sshd_config /etc/ssh/

EXPOSE 5000 2222 80 443 24224



# GCP
# Downloading gcloud package
RUN curl https://dl.google.com/dl/cloudsdk/release/google-cloud-sdk.tar.gz > /tmp/google-cloud-sdk.tar.gz

# Installing the package
RUN mkdir -p /usr/local/gcloud \
  && tar -C /usr/local/gcloud -xvf /tmp/google-cloud-sdk.tar.gz \
  && /usr/local/gcloud/google-cloud-sdk/install.sh

# Adding the package path to local
ENV PATH $PATH:/usr/local/gcloud/google-cloud-sdk/bin

# install fluentd
RUN curl -L https://toolbelt.treasuredata.com/sh/install-ubuntu-xenial-td-agent3.sh | sh

COPY td-agent.conf /etc/td-agent/
COPY schema.json /etc/td-agent/
COPY private_key.p12 /etc/td-agent/


RUN pip install fluent-logger
RUN /opt/td-agent/embedded/bin/fluent-gem install --no-document specific_install
RUN /opt/td-agent/embedded/bin/fluent-gem specific_install https://github.com/kaizenplatform/fluent-plugin-bigquery.git
RUN /etc/init.d/td-agent start

COPY ssh.sh /bin/
RUN chmod 755 /bin/ssh.sh

# Make NGINX run on the foreground
RUN echo "daemon off;" >> /etc/nginx/nginx.conf
# Remove default configuration from Nginx
RUN rm /etc/nginx/conf.d/default.conf
# Copy the modified Nginx conf
COPY nginx.conf /etc/nginx/conf.d/
# Copy the base uWSGI ini file to enable default dynamic uwsgi process number
COPY uwsgi.ini /etc/uwsgi/

# Install Supervisord
RUN apt-get install -y supervisor \
&& rm -rf /var/lib/apt/lists/*
# Custom Supervisord config
COPY supervisord.conf /etc/supervisor/conf.d/supervisord.conf
# copy files
RUN mkdir /code
RUN mkdir /code/lp
RUN mkdir /code/log/
WORKDIR /code
COPY requirements.txt /code/
COPY lp /code/lp
RUN pip install -r requirements.txt

# Which uWSGI .ini file should be used, to make it customizable
ENV UWSGI_INI /code/lp/uwsgi.ini

# By default, allow unlimited file sizes, modify it to limit the file sizes
# To have a maximum of 1 MB (Nginx's default) change the line to:
# ENV NGINX_MAX_UPLOAD 1m
ENV NGINX_MAX_UPLOAD 0

# Copy the entrypoint that will generate Nginx additional configs
COPY entrypoint.sh /entrypoint.sh
RUN chmod +x /entrypoint.sh

ENTRYPOINT ["/entrypoint.sh"]


CMD ["/usr/bin/supervisord"]

[supervisord]
nodaemon=true

[program:uwsgi]
command=/usr/local/bin/uwsgi --ini /etc/uwsgi/uwsgi.ini --die-on-term
stdout_logfile=/dev/stdout
stdout_logfile_maxbytes=0
stderr_logfile=/dev/stderr
stderr_logfile_maxbytes=0

[program:nginx]
command=/usr/sbin/nginx
stdout_logfile=/dev/stdout
stdout_logfile_maxbytes=0
stderr_logfile=/dev/stderr
stderr_logfile_maxbytes=0

[program:ssh]
command=/usr/sbin/sshd -D
autostart=true
autorestart=true

[program:td-agent]
command=td-agent -d --under-supervisor

 試したこと

docker run -it -p 80:8080 -p 24224:24224 mydocker/test /bin/bash

2018-08-13 09:26:51 +0000 [info]: starting fluentd-1.2.2 pid=22 ruby="2.4.4"
2018-08-13 09:26:51 +0000 [info]: spawn command to main:  cmdline=["/opt/td-agent/embedded/bin/ruby", "-Eascii-8bit:ascii-8bit", "/usr/sbin/td-agent", "--log", "/var/log/td-agent/td-agent.log", "--daemon", "/var/run/td-agent/td-agent.pid", "--under-supervisor"]

ログは上のようになりました。
今の所、コンテナに入っても起動していない状態です。
dockerコンテナ起動時に、すでにfluentdがstartしている状態にしたいです。
よろしくお願いします。