Does Noise removing twice badly impact the actual rec?

Each application of noise removal damages the audio to some extent,
(also the higher the settings for “noise reduction” and “sensitivity” the more the audio will be damaged : it’s a trade-off )

Below is a “before-after” using the audio you posted previously with the noise reduction settings …

noise removal.gif
After Noise Reduction then apply a noise-gate to reduce/remove the noise between phrases.