php - How to apply a where condition on average function results without second select?

I have a Laravel 6 application. I want to use eloquent to collect only those employees that have an engaged score equal to true.

The question is how can I apply awhere clause on theavg function results without a second select in Eloqunt? For example something like this:

SELECT
    `employees`.*,
    AVG(responses.text_answer) > 4.6 AS engaged
FROM
    `employees`
INNER JOIN `responses` AS `responses`
ON
    `responses`.`employee_id` = `employees`.`id`
INNER JOIN `survey_questions` AS `surveyQuestions`
ON
    `surveyQuestions`.`id` = `responses`.`survey_question_id`
INNER JOIN `questions` AS `questions`
ON
    `questions`.`id` = `surveyQuestions`.`question_id`
WHERE
    engaged = 1 AND `questions`.`question_type_id` = '6S'
GROUP BY
    `employees`.`id`
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But the problem isengaged in the WHERE condition here is not recognized and MySQL shows:

Unknown column 'engaged' in 'where clause'

A part of my eloquent statement is like this:

public function engaged()
    {
        return $this->relatedToMany(QuestionType::class, function(Builder $query){
            if(!$this->joined($query, 'responses')){
                $query->join(
                    'responses AS responses',
                    'responses.employee_id',
                    '=',
                    'employees.id',
                    'inner'
                );
            }
            if(!$this->joined($query, 'survey_questions')){
                $query->join(
                    'survey_questions AS surveyQuestions',
                    'surveyQuestions.id',
                    '=',
                    'responses.survey_question_id',
                    'inner'
                );
            }
            if(!$this->joined($query, 'questions')){
                $query->join(
                    'questions AS questions',
                    'questions.id',
                    '=',
                    'surveyQuestions.question_id',
                    'inner'
                );
            }
            $query->where('questions.question_type_id', '6S');
            $query->select('employees.*', \DB::raw('AVG(`responses`.`text_answer`) >= 4.6 AS `engaged`'));
            $query->groupBy('employees.id');
        });
    }
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And the where clause applied like this:

public function filterEngaged(EloquentBuilder $query, $method, $clauseOperator, $value, $column, $table)
{
    call_user_func([$query, $method], $column, $value);
    // $method = 'where', $column = 'engaged' , $value = 1
}
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