How to Calibrate CIR Magnitude Using DGC and Accumulation Count Based on First Path Power Level Formula?

I’m trying to calibrate the magnitude of Channel Impulse Responses (CIR) from multiple received frames using QM33120WDK1, each associated with different DGC values. My goal is to normalize the CIR magnitude across all frames by compensating for both DGC and the accumulation count (N).

According to the user manual, the First Path Power Level is given by:

image

Based on this, for each frame, if I denote the amplitude of the i-th CIR tap as a_i​, can I interpret the i-th CIR Power Level as:
image

And thus, derive the calibrated i-th CIR magnitude (normalized across frames) as:

image

Is this interpretation correct? Or is there something I’m missing in how the DGC and accumulation count should be handled for amplitude normalization?

Any clarification or confirmation would be greatly appreciated.