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A standard plea deal is an admission of some form of guilt, usually less than what the prosecutor would charge for trial, in exchange for a lighter sentence. You (defendant) are not admitting you did it regardless of whether or not you actually did it. You’re just admitting guilt.
What you’re describing is called an Alford plea. This is where, in making the plea, you maintain innocence but acknowledge the prosecutor has enough evidence to overcome reasonable doubt. There’s an excellent documentary called
Tap for spoiler
The Staircase
that results in one.
A man’s gotta do what a man’s gotta do.