What's the smallest and most cost-effective bluetooth enabled board?

I'm trying to connect an arduino to a TI-84 using the ArTICL library, but I need something that's small and flat, but also can connect to my phone using bluetooth (android phone)

Welcome to the forum

Something like this perhaps

https://www.aliexpress.com/item/1005004050456813.html

Can I put a .ino file into this?

Yes, of course. It is an ESP32 dev board in a small form factor. You can program it using the Arduino IDE

As an example, I use one like it to monitor of my wife's electric mobility scooter using an app on my Android 'phone because the scooter's voltage monitoring consists of just 4 LEDs

Oh, okay. Thank you so much!

The letters/numbers on the board aren't making much sense to me. The project I'm working on requires digital pins 2 and 3. Which are these?

Hello ztag5

Welcome to the worldbest forum.

We need some additional information.
Post your sketch, well formated, with well-tempered comments and in so called code tags "< code >" and a detailed circuit diagram to see how we can help.

Have a nice day and enjoy coding in C++.

These boards usually require to read the manual or watch the pinout to use them. By the picture I would say D2 and D3 are the 4th and 5th pin of the first column on the right side.

If you are using only the chip without the miniboard it gets complicated, I would stick to the miniboard.

You might find one of Adafruit's "QT Py" format ESP32 boards better documented and supported...