Does this unicorn trackball mouse exist?

My current trackball has lost its smoothness and feels "sticky" no matter how well, or often I clean it.

So, I'm looking for a trackball (thumb controlled) with the following features:

• Bluetooth wireless with support for at least two connections (for laptop and PC media station).
• Uses AA or AAA batteries.
• Uses bearings.
• Set at a tilt/ergo angle.
• Repairability is also important, but not a total dealbreaker if the mouse is high-enough quality.

So far, most that I've found will lack one of those features, but I'd really like to have all of them, if possible.

UPDATE: Thanks to everyone who offered tips on getting my current trackball working better. Today, trying to roll the ball left became very difficult, like it didn't want to move. I took it out, looked at the little white ball (bearing?) supports that the ball should be rolling on, and noticed that the left-most one was almost pushed in, and flush with the cup that the ball sits in. The other two are higher up, so the ball can "float" on those, but not this other one. The manufacturer is already sending a replacement mouse, so it should work better, but I'd still like to find my unicorn 😄