You can hardly invalidate a prayer which has ended.
And the prayer ends with the salam or tasleem:
The Prophet (ﷺ) said: The key of prayer is purification; takbir (saying "Allah is most great") makes (all acts which break prayer) unlawful and taslim (uttering the salutation) makes (all such acts) lawful.
(See for example in Sunan abi Dawod 1 & ...
In brief, the ruling on the person who makes mistakes that alter the meaning is one of the following. Your case is point #3:
If he made the mistake intentionally, his prayer along with the prayer of the people he is leading in prayer are invalid according to the agreement of scholars.
If he made the mistake out of forgetfulness, his prayer is valid ...
This narration appears in a chapter of Musannaf (abu Bakr) ibn abi Shaybah in which he quoted those people of knowledge (sahabah and tabi'yn etc.) who used not to raise their hands after the takbirat al-Ihraam (the takbir to start the prayer).
The chapter quotes:
The prophet () according a report on the authority of al-Bara' ibn 'Azib and 'Abdullah ibn Mas'...
It is an authentic narration.
Imām Abū Jaáfar al-Ţaĥāwī comments on this:
“This is Úmar, may Allāh be pleased with him, he would not raise his hands except in the first takbīr in this ĥadīth, and it is a şaĥīĥ ĥadīth.”
[Sharĥ Ma'áānī al-Āthār, 1/227]
Mullā Álī al-Qārī writes regarding it:
“Ţaĥāwī and then Bayhaqī narrated from the ĥadīth of Ĥasan ibn Áyyāsh,...
It maybe better to put your alarm clock far from bed, and setting it to be louder should wake you up.
Or do dhikr of Allah after you wake up, then do wudu and if you want, you can pray duha if there is enough time, or just pray Zuhr If there's no time for duha.
If you wake up and remember Zuhr (If it is Zuhr Salah time) but go back to sleep, you are ...