Yes i took October remotely and I used a wireless mouse with no issues. They just make you show all sides of the mouse on camera before you begin.

This might be an unpopular opinion but maybe just take a break. Don't study for a day or two and give yourself a minute. Come back and only do untimed drills for the question types you struggle with the most. Maybe just 5 or 10 at a time and ignore your internal clock. You'll be very surprised how fast you improve when you stop aimlessly drilling and really just understand the question and why each answer is right or wrong. I promise the time improvement will end up being a biproduct.