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Bleed them just like you normally would. It is no different than bleeding any brake system.
By bleeding your brakes as you would normally. Just run enough brake fluid through to fill the reservoir 2 times.
I would try bleeding the brake lines first to make sure there is no air in the lines. Could be the brake booster (if applicable) or even the master cylinder. If your car has a brake booster maybe check the vacuum line on it first.
Check the brake booster vacuum line, if it is good then it may be the booster itself. Of course check the obvious first, fluid level, brake bleeding, pad and shoe wear.
This isn't something you'd do on your own. I would search for a professional in your area who does CDL brake tests.
Brake bleeding is performed to insure you do not have bubbles in your brake line. If you had bubbles, it would cause your breaks to not work right. You can bleed your breaks if you have a friend help you, the procedure is pretty straight forward. The brake bleeder tools help you accomplish the task easier.
It seems like there might be air in your brake system. You should try bleeding your brakes and filling it with fresh brake fluid.
Check you brake fluid and lines. It may be as simple as bleeding your brakes.
Bleed the master cylinder.& then rebleed the system.
I believe that they would perform just as well or better than the fiber and carbon pads.
I advise you to perform a careful examination of your car's brake system.
I would suspect the Master Cylinder if defective. I had the same problem with my 1978. I replaced the combination valve and it solved the problem after bleeding.