enigmatic puzzle – PSE Advent Calendar 2025 (Day 3): A gift from my travel agent
This puzzle is part of the Puzzling Stack Exchange Advent Calendar 2025. The accepted answer to this question will be awarded a bounty worth 100 reputation.
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My travel agent Pat gave me a lovely advent calendar for the season. I’ve torn off the first three doors, but all that’s behind them are some numbers. Here’s a picture:

Knowing Pat, there’s a puzzle in here somewhere. There’s a brief message on the back:
Luke 1:26-27, King James Version
The king is to be beheld, not touched.
Can you help me figure out what the heck is going on here?
Notes:
- The background image for the advent calendar was generated by ChatGPT for seasonal flair.
- Thanks to @Jafe for switching dates with me. This would have been a much different puzzle had it been published on the 17th, per my originally scheduled date.