Getting new parameter after Python Toolbox gets executed

Question

I am trying to build a toolbox which would first take some inputs and execute some code and return me results. After the results I would like toolbox to ask me for new parameters so I can use these results.

Here is my idea with the code

# -*- coding: utf-8 -*-

import arcpy


class Toolbox(object):
    def __init__(self):
        """Define the toolbox (the name of the toolbox is the name of the
        .pyt file)."""
        self.label = "Toolbox"
        self.alias = "toolbox"

        # List of tool classes associated with this toolbox
        self.tools = [Tool]


class Tool(object):
    def __init__(self):
        """Define the tool (tool name is the name of the class)."""
        self.label = "Tool"
        self.description = ""
        self.canRunInBackground = False

    def getParameterInfo(self):
        """Define parameter definitions"""

        input_folder = arcpy.Parameter(
            name='input_folder',
            displayName='Input Folder',
            datatype='DEWorkspace',
            direction='Input',
            parameterType='Required')

        params = [input_folder]
        
        return params

    def isLicensed(self):
        """Set whether tool is licensed to execute."""
        return True

    def updateParameters(self, parameters):
        """Modify the values and properties of parameters before internal
        validation is performed.  This method is called whenever a parameter
        has been changed."""
        return

    def updateMessages(self, parameters):
        """Modify the messages created by internal validation for each tool
        parameter.  This method is called after internal validation."""
        return

    def execute(self, parameters, messages):
        """The source code of the tool."""

        #show me some results which i will make use.

        #execute something to get new parameter from user input and make operation.
        
        #and make the operation.
        return

Answer 1

In What is a Python toolbox? it says:

Python toolboxes are geoprocessing toolboxes that are created entirely in Python. A Python toolbox and the tools contained within look, act, and work just like toolboxes and tools created in any other way.

In Setting script tool parameters it says:

Almost all tools have parameters, and you set their values on the tool dialog box or within a script. When the tool is executed, the parameter values are sent to your tool's source code. Your tool reads these values and proceeds with its work.

There is no option to interrupt the work of a tool and have new parameter values collected from the user of that tool.