Unable to pass parameters to task prerequisite

I need before and after hooks for all rake tasks.

task :my_before_hook, [:name] => :environment do |_t, args|
  puts "Rake task #{args[:name]} started"
end

task :my_after_hook, [:name] => :environment do |_t, args|
  puts "Rake task #{args[:name]} finished"
end

task :my_test_task  => :environment do
  puts '--------- This is test task'
end

Rake.application.tasks.each do |tsk|
  next if [Rake::Task['my_before_hook'],
           Rake::Task['my_after_hook']].include?(tsk)

  tsk.enhance ['my_before_hook'] # I can't send any params with such code

  tsk.enhance do
    Rake::Task['my_after_hook'].invoke(tsk.name)
  end
end

Is there any way to send params to prerequisite?

Start with the Rake::Task#enhance and Rake::Task#invoke entry points used in the example. Trace how the prerequisite is invoked and determine whether parameters can be passed through that path. Done means establishing the supported behavior or documenting the required change, with coverage for the hook example if tests are added.