Use an ESP32 as a bluetooth joypad... maybe you need to calibrate it on first use...

analog_BLE_joypad_XYbtn.ino

#include <Arduino.h>
#include <BleGamepad.h> //http://librarymanager/All#ESP32-BLE-Gamepad 


//BleGamepad bleGamepad;
BleGamepad bleGamepad("BLEstick", "orksat.me", 100); // Set custom device name, manufacturer and initial battery level
BleGamepadConfiguration bleGamepadConfig;                          // Create a BleGamepadConfiguration object to store all of the options

const int delayBetweenHIDReports = 5; // Additional delay in milliseconds between HID reports

const int buttonPin = 33; //Looks like the button is active low
const int xAxisPin = 36; //pin name SVP = ADC2
const int yAxisPin = 39; //pin name SVN = ADC3


void setup()
{
    Serial.begin(115200);
    Serial.println("Starting BLE work!");
    //bleGamepad.begin();
    bleGamepadConfig.setAutoReport(true);
    bleGamepadConfig.setControllerType(CONTROLLER_TYPE_GAMEPAD); // CONTROLLER_TYPE_JOYSTICK, CONTROLLER_TYPE_GAMEPAD (DEFAULT), CONTROLLER_TYPE_MULTI_AXIS
    bleGamepadConfig.setButtonCount(1);
    bleGamepadConfig.setHatSwitchCount(0);
    bleGamepadConfig.setWhichSpecialButtons(false, false, false, false, false, false, false, false);
    bleGamepadConfig.setWhichAxes(true, true, false, false, false, false, false, false);
    bleGamepadConfig.setIncludeThrottle(false);

    bleGamepadConfig.setVid(0xdead);
    bleGamepadConfig.setPid(0xbeef);
    
    bleGamepadConfig.setModelNumber("1.0");
    bleGamepadConfig.setSoftwareRevision("Software Rev 1");
    bleGamepadConfig.setSerialNumber("24404972");
    bleGamepadConfig.setFirmwareRevision("2.0");
    bleGamepadConfig.setHardwareRevision("0.1");
    
    // Some non-Windows operating systems and web based gamepad testers don't like min axis set below 0, so 0 is set by default
    //bleGamepadConfig.setAxesMin(0x8001); // -32767 --> int16_t - 16 bit signed integer - Can be in decimal or hexadecimal
  	bleGamepadConfig.setAxesMin(0x0000); // 0 --> int16_t - 16 bit signed integer - Can be in decimal or hexadecimal    
    bleGamepadConfig.setAxesMax(0x7FFF); // 32767 --> int16_t - 16 bit signed integer - Can be in decimal or hexadecimal     
    
    bleGamepad.begin(&bleGamepadConfig); // Begin gamepad with configuration options
    bleGamepad.setBatteryPowerInformation(POWER_STATE_NOT_PRESENT); 

    pinMode(buttonPin, INPUT);
    
}
//Debouncing the button is kinda tricky:
unsigned long buttonChangedAtTime=0; //store millis at change so we can debounce the button
bool lastButtonState=false; //Store last button reading, so we know if it changed
bool buttonHasChanged=false;
const unsigned long buttonDebounceTime = 20; //time before any button change is valid
const int numberOfAnalogReadingsToAverage=16;
void loop()
{
  int X,Y;
  bool BTN;
  bool currentButtonState=digitalRead(buttonPin);

  unsigned long xAvg=0;
  unsigned long yAvg=0;
  //Do a bunch of analog readings and calculate the average, to filter out noise.
  for(int i=0;i<numberOfAnalogReadingsToAverage;i++){
    xAvg+=analogRead(xAxisPin);
    yAvg+=analogRead(yAxisPin);
  }

  X = xAvg/numberOfAnalogReadingsToAverage;
  Y = yAvg/numberOfAnalogReadingsToAverage;




  
  if(lastButtonState!=currentButtonState) 
  {
    buttonChangedAtTime=millis();
    lastButtonState=currentButtonState;
    buttonHasChanged=true;
  }

  if(buttonHasChanged && millis()>buttonChangedAtTime+buttonDebounceTime) 
  {
    BTN=currentButtonState;
    buttonHasChanged=false;
  }
  /*
  Serial.print("X:");
  Serial.print(X);
  Serial.print("\tY:");
  Serial.print(Y);
  Serial.print("\tBTN:");
  Serial.print(BTN);
  Serial.println();
  */

  int xMinimum = 0;
  int xMaximum = 4095;
  int yMinimum = 0;
  int yMaximum = 4095;
      
  //Constrain values between max and min to avoid weird behaviour if values overshoot
  int adjustedX = constrain(X, xMinimum, xMaximum);
  int adjustedY = constrain(Y, yMinimum, yMaximum);

  // Map adjusted X and Y to 0x7FFF ~ 0x8001 for use as an axis reading
  adjustedX = map(adjustedX, xMinimum, xMaximum, 0, 0x7FFF);
  adjustedY = map(adjustedY, yMinimum, yMaximum, 0x7FFF, 0);


if (bleGamepad.isConnected())
    {

        // Update throttle axis and auto-send report
        bleGamepad.setAxes(adjustedX,adjustedY);

        if(!BTN) bleGamepad.press(BUTTON_1); //Button is active low, so we press the gamepad button if reads (!)not true.
        else bleGamepad.release(BUTTON_1);
        
        delay(delayBetweenHIDReports);


   }
}