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Yes, you need 0.1uF&1uF decoupling caps for each power pin at the same time.
0.1uF cap is responsible for filtering low-freq noise(<10MHz), and 1uF is responsible for filtering high-freq noise(>20MHz).
The best practice is place both caps near the target power pin in layout. Each pin owns one set of caps.
If the layout space is restricted, adjacent power pins can share one common decoupling caps set.
Just notice a correction to my previous post --
0.1uF cap is responsible for filtering HIGH-freq noise, and 1uF is responsible for filtering LOW-freq noise.
Besides, 1uF cap provides aid to the supply to make sure the voltage does not charge/dip based on loads. It should be noted that both provide decoupling of noise but 1uF primarily focused on aiding supply based on loads whereas 0.1 primarily provides the noise filtering because of switching elements.