Calculating specific degrees when the sun is below the horizon given 3 other known values

Question

Reference: Types of Twilight

Hi all, I have a question that I'm unsure how to approach and I was hoping someone could help me.

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I'm trying to calculate the time when the Sun is 16.1 degrees below the Horizon.

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What We Know On October 5th, 2021, the following Twilight times were recorded (as they are every day):

1. Civil Twilight is calculated when the Sun is 6 degrees below the Horizon. That time is 6:29 AM
2. Nautical Twilight is calculated when the Sun is 12 degrees below the Horizon. That time is 5:57 AM
3. Astronomical Twilight is calculated when the Sun is 18 degrees below the Horizon. That time is 5:25 AM

Given the degrees and times above, is there a way for me to calculate what the time would be at 16.1 degrees?

TIA!