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Anyway, I can't test my USB blaster with another device family, because I have only EPM7064.
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If you remove the cover of the USB-Blaster, you can loop its JTAG cable back onto an internal JTAG header (which is also a MAX device), and see if you can read the JTAG IDCODE of that device too.
If you want to check the output drivers are working, you can jumper from the VCC_TARGET pin of the second header internal to the USB-Blaster to that on the USB-Blaster output header, and then probe TCK, TMS, and TDI.
Cheers,
Dave