Are you saying that you shoot off handed shots so often that you need to wear a full time bridging glove for your off hand too?
If that is really what you are saying, in my opinion you are either fully ambidextrous or at least highly proficient with your "off" hand, or you are shooting way too many shots with your off hand.
If you really are ambidextrous, I can't offer much except that I can't imagine you can keep a good grip on the cue while wearing a bridge hand glove on your stroking hand because those gloves are made for low friction. My guess (but I haven't tried it) is that it is going to cause you to have to grip the cue too tightly in order to maintain control of it which in turn is going to have a negative impact on your game (a relatively loose grip on the cue and a relaxed stroking arm are generally desirable and beneficial).
If you are not ambidextrous or near to it, you probably need to start using the bridge and cue butt extensions and the like a lot more often as you will have better success with them than shooting with your off hand. If you don't feel like you would have a higher success rate with them currently, you will with a bit of practice. You probably also need to learn to shoot while reasonably stretching out for shots, and same thing, practice will help you get proficient shooting while stretched out if it is within reason. And as important as anything, you need to start actively thinking about playing shape in ways that you can easily reach your shots without having to use a bridge or having to stretch in awkward ways or having to shoot with your off hand etc, and of course you also have to learn to execute those positional plans with much more precision.