der Entwurf
draft
A preliminary, not yet final version of a text, plan, or concept.
Ich schicke Ihnen den ersten Entwurf des Vertrags zur Prüfung.
I will send you the first draft of the contract for review.

draft / design
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draft
A preliminary, not yet final version of a text, plan, or concept.
Ich schicke Ihnen den ersten Entwurf des Vertrags zur Prüfung.
I will send you the first draft of the contract for review.

'Der Entwurf' (the draft/design) is the noun form of the verb 'entwerfen' (to design/draft). You can recognize the verb 'werfen' (to throw) in it. The idea behind it is that you 'throw out' a first thought or first sketch, or put it down on paper.
Der Künstler entwirft gerade eine neue Skulptur.
The artist is currently designing a new sculpture.
Common verbs used with 'Entwurf' (draft/design) are 'einen Entwurf erstellen' (to create a draft), 'einen Entwurf anfertigen' (to produce a draft), 'einen Entwurf überarbeiten' (to revise a draft), and 'einen Entwurf präsentieren' (to present a draft/design).
Der Minister muss den Entwurf für das neue Gesetz noch überarbeiten.
The minister still has to revise the draft for the new law.
With texts and plans, 'Entwurf' (draft) is often combined with adjectives such as 'erster' (first), 'vorläufiger' (preliminary), or 'grober' (rough). It is also part of compounds such as 'Gesetzesentwurf' (draft bill) or 'Vertragsentwurf' (draft contract).
Bitte lesen Sie den ersten Entwurf des Berichts und geben Sie mir Feedback.
Please read the first draft of the report and give me feedback.
plan
'der Plan' and 'der Entwurf' can both show how something is intended or prepared. 'Plan' is more general: it can be an intention, detailed organization, or also a drawing. 'Entwurf' more often means a first, not yet finished version. This can be a text, a concept, or a sketch. They can be confused when talking about projects or design. If something already serves as a basis for action, 'Plan' fits better. If it is still meant to be revised, 'Entwurf' is more precise.

Am Abend hat Mehmet den ersten Entwurf für seinen Text geschrieben.
In the evening, Mehmet wrote the first draft of his text.
Vor dem Termin besprechen wir den Plan für die Reise.
Before the appointment, we discuss the plan for the trip.