The stock shimano bleed block is too wide.
The bleed block thickness is mostly irrelevant. As the pads wear, they reset themselves so they will adjust to the thickness of whatever rotor you are using. The big exception is if the pistons have stuck to the seals and aren’t self-adjusting properly. In this case, clean them and lube them as recommended above by tjagain.
Overfilling the system is not a great idea. Firstly, it will only work until the pads wear down, then it will go back to normal. Secondly, you are liable to damage the reservoir seals. The brake system shouldn’t be pressurized until the transfer port (between the reservoir and master cylinder) is closed by the piston. This determines the lever travel, assuming they are properly bled, etc. By overfilling them, you are causing them to be pressurized when the transfer port is still open, which means that the reservoir is exposed to the full pressure of the brake system. It’s not designed for this extremely high pressure.