You can make an ordinary dua when reflecting on a new year, but a calendar change does not by itself establish a special Prophetic prayer. Distinguish personal reflection from a claim that a fixed beginning-of-year or end-of-year formula is prescribed.
Context and use
People may mean the Hijri year or the Gregorian year. Say which one you mean, and check religious claims about the occasion separately from ordinary planning.
Sunni school differences
The ruling on a celebration depends on how the occasion is understood and what it involves. Dar al-Ifta has permitted the particular social setting discussed in its cited answer; that is not a universal ruling on every New Year activity.
Clarify what you are looking for
A search for “new year dua” can mean a personal prayer, a greeting, a Hijri calendar practice or participation in a Gregorian celebration. These questions need different answers.
Start by deciding whether you want words for your own reflection or evidence for a named religious practice. A suitable personal sentence should not be labelled Sunnah simply because it fits the date.
Make a personal prayer without false attribution
For example: “Allah, help me use the coming months well, forgive my mistakes and guide me toward what is good.” This wording is composed for this guide. It is not a reported beginning-of-year formula.
You can also use a checked general Quranic supplication, keeping its original reference. Quran 2:201 asks for good in this world and the Hereafter; its relevance to your hopes does not make it exclusive to New Year.
Check claims about fixed annual formulas
If a post says to recite a prayer a certain number of times on the last evening or first morning of the year, ask for the source that establishes the wording, time and count. Each detail is part of the claim.
The current library has not verified a special compulsory formula for either calendar transition. That is a statement about this collection’s verified material, not proof that no discussion exists anywhere.
Greetings and celebrations need context
Egyptian Dar al-Ifta’s answer about young children and New Year treats the particular setting in that question as a social occasion, with conditions. Its reasoning should not be expanded into approval of every activity attached to the date.
If participation raises a question for you, describe the actual event to a qualified teacher: its purpose, religious symbolism and planned activities. A blanket answer based only on the word “celebration” may miss those facts.
Turn reflection into manageable action
Choose a small action that supports your prayer: repairing a relationship, learning a short passage accurately or making time for an existing responsibility. A calendar marker can be a reminder without becoming an invented act of worship.
Can I share my own prayer? Label it as personal wording. Can I call it the Prophet’s New Year dua? Only with a verified source for that attribution and context. A polished graphic is not that source.