Need help ATtiny85 not working as standalone

Question

I have ATTiny85 that I want to drive a servo. Burned bootloader to the ATTiny85 and I am using HW-260 development board to program and to test the code. While the ATTiny85 works perfectly on the HW-260 development board, I cant get it to work as a standalone on a breadboard when testing with the servo by using the Adafruit_SoftServo library and with the blink example. Tried adding 4.7kOhm pull-up resistor to PB5 to prevent the ATTiny85 from resetting but I get the same result. Tried powering the standalone layout with 3V coin cell, USB 5V, powerbank 5V and nothing. This is the servo code I am using:

Adafruit_SoftServo myservo;
int pos = 0;
void setup() {
  myservo.attach(PB0);
}
void loop() {
  for (pos = 0; pos <= 180; pos += 1) {
    myservo.write(pos);
    myservo.refresh();
    delay(15);
  }
  for (pos = 180; pos >= 0; pos -= 1) {
    myservo.write(pos);
    myservo.refresh();
    delay(15);
  }
}

The blink code I am using is from the examples, I just change the output pin as PB1. If I connect the PB5 briefly to ground, I get the servo to turn a bit in random direction. Measured and the breadboard is not the problem, everything seems to be connected correctly.

This is the bootloader I used https://github.com/ashishchoudhary9998/ATtiny85-Boot-loader

Edit: This is the schematic of the HW-260 board

This is my layout

Answer 1

After adding the schematics, a difference can be spotted:

PB3 needs a pull-up, on the development board it has 1,5 kΩ. This resistor is part of the USB standard and signals "low speed device". Presumably (because the source of it is not provided) the bootloader needs this to start at all, too.

The delay mentioned in a comment is typical for ATtiny85 development. Because of the low number of pins, the bootloader starts and waits for some seconds for a PC to connect. If no connection is established, the user program is started. It can then use all pins for its own purposes.