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I think there're two ways:
1 . In function defaultParamValues(), get all data of multi selection and assign them to the input's default value:
protected function defaultParamValues()
    {
        // get data for $allMultiSelectData 
        return array(
            "multiSelect"=>$allMultiSelectData, 
2 . In function setup(), get get all data of multi selection via datastore piping and assign it to the report's params:
protected function setup()
    {
        $this->src("mydatasource")->query($query)
        ->pipe($this->dataStore("multiSelect"))
        ->requestDataSending();
        $rows = $this->dataStore("multiSelect")->data());
        $allMultiSelectData = [];
        foreach ($rows as $row) {
            $allMultiSelectData[] = $row["multiSelectColumn"];
        }
        $this->params["multiSelect"] = $allMultiSelectData;
Hope these work for you. Rgds,
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