Capistranoでbundler自体をインストールする方法はあるのでしょうか？

Capistranoを試しているのですが、以下のエラーに苛まれています

bundle stdout: Nothing written
bundle stderr: rbenv: bundle: command not found

この問題の解決策の一つとして、デプロイ先のrbenvに前もってbundlerをインストールするというものがあって、実際にそうするとデプロイは成功します

ただそれ以前にCapistranoでのデプロイ時に、それも含めて実行する方法は存在していないのでしょうか？

よろしくおねがいします

以下が私の設定ファイルです

# Load DSL and set up stages
require "capistrano/setup"

# Include default deployment tasks
require "capistrano/deploy"

# Load the SCM plugin appropriate to your project:
#
# require "capistrano/scm/hg"
# install_plugin Capistrano::SCM::Hg
# or
# require "capistrano/scm/svn"
# install_plugin Capistrano::SCM::Svn
# or
require "capistrano/scm/git"
install_plugin Capistrano::SCM::Git

require "capistrano/puma"
install_plugin Capistrano::Puma

require "capistrano/rbenv"
require "capistrano/bundler"
require "capistrano/rails/assets"
require "capistrano/rails/migrations"

# Load custom tasks from `lib/capistrano/tasks` if you have any defined
Dir.glob("lib/capistrano/tasks/*.rake").each { |r| import r }

# config valid only for current version of Capistrano
lock "3.9.1"

set :application, "myapp"
set :repo_url, "https://path/to/myapp.git"
set :user, 'John Doe'
set :ssh_options,
  keys: '~/.ssh/hoge.pem',
  user: fetch(:user)

set :deploy_to, "/data/#{fetch(:application)}"
append :linked_dirs, 'log', 'tmp/pids', 'tmp/cache', 'tmp/sockets', 'public/system'
set :rbenv_type, :user
set :rbenv_ruby, '2.4.0'
set :rbenv_prefix, "RBENV_ROOT=#{fetch(:rbenv_path)} RBENV_VERSION=#{fetch(:rbenv_ruby)} #{fetch(:rbenv_path)}/bin/rbenv exec"
append :rbenv_map_bins, 'puma', 'pumactl'
set :bundle_flags, "--deployment --without development test"
set :puma_tag, fetch(:application)
set :puma_conf, "#{shared_path}/config/puma.rb"

namespace :deploy do
  desc 'Make sure local git is in sync with remote.'
  task :check_revision do
    on roles(:app) do
      unless `git rev-parse HEAD` == `git rev-parse origin/master`
        puts "WARNING: HEAD is not the same as origin/master"
        puts "Run `git push` to sync changes."
        exit
      end
    end
  end

  desc 'Initial Deploy'
  task :initial do
    on roles(:app) do
      before 'deploy:restart', 'puma:start'
      invoke 'deploy'
    end
  end

  desc 'Restart application'
  task :restart do
    on roles(:app), in: :sequence, wait: 5  do
      invoke 'puma:restart'
    end
  end

  desc 'Upload important files'
  task :upload

  before :starting, :check_revision
  before :starting, :upload
  after  :finishing, :compile_assets
  after  :finishing, :cleanup
end

server 'example.com', user: "John Doe", roles: %w{app}

set :rails_env, :production
append :linked_files, 'config/database.yml', 'config/puma.rb'

namespace :deploy do
  desc 'Upload important files'
  task :upload do
    on roles(:app) do
      execute :mkdir, '-p', "#{shared_path}/config"
      upload!('config/database.yml',"#{shared_path}/config/database.yml")
      upload!(".env.#{fetch(:rails_env)}", "#{shared_path}/.env.#{fetch(:rails_env)}")
      invoke 'puma:config'
    end
  end
end