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"at beginning" is a correct and usable phrase in written English.
It can be used to refer to the beginning of a period of time, the start of something, or (less commonly) the initial stages of a process. For example, "At the beginning of the school year, I felt overwhelmed by all of the new classes."
Exact(60)
Errata: p. - at beginning.
Title taken from ms. title at beginning.
Abstract: v. 1, 2 leaves at beginning.
Partial table of contents at beginning.
Roadway Type at Beginning Ramp Terminal (195).
There's a lot to laugh at, beginning with Depp.
Intro Bumper: Fade from white at beginning (optional).
It and Woodwalton Fen were saved by Charles Rothschild at beginning of twentieth century.
Perhaps Harris will prove far more adept at beginning a presidential campaign than actually running one.
Comparisons with the results from the WEC code ANC at beginning, middle, and end of cycle showed good agreement.
Average Annual Daily Traffic (79) 2 Location Identifier for Roadway at Beginning Ramp Terminal (197).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com