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The phrase "a first plan" is correct and usable in written English.
It can be used when referring to an initial or preliminary plan in a sequence of plans or strategies.
Example: "Before we move forward, let's review a first plan to ensure we are on the right track."
Alternatives: "an initial plan" or "a preliminary plan".
Exact(2)
In 1928 a first plan for road infrastructure development "Straßenausbaukarte" was made and in the year 1936 the first Austrian "Fernstraßennetz" plan was designed by Leopold Oerley.
Vick's attorneys filed a first plan of reorganization through bankruptcy on November 12 , 2008
Similar(55)
In a first, plans call for the show to run for 100 consecutive nights in prime time.
There is, as it happens, a third "Plan of Attack".
A second plan under discussion would have the I.M.F.
A third plan essentially keeps the highway as it now stands.
A third plan targeted an air base in Singapore and American planes that use the base.
Nearly a third plan to splash out more on luxury goods this year than last.
All of which argues in favour of a second plan being proposed for Venice.
A third plan would increase pressure on Colonel Qaddafi's government, but does not go into details.
In 1908, President Theodore Roosevelt charted a second plan, which foresaw the need to invest in electrical generation.
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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