No, only the type the actual card is. The upper right corner of the card represents which the the card is.
So even if your pokemon is water type, but it takes fighting energy to attack, the attack is still a water attack. So weakness/resistance is applied for the type on the upper corner.
Hope I helped
P.S. Way back in the day I thought the same thing as you (Though, you have to give me slack, cause I was 8 and never read the manual )
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