Because your original entry was illegal you are likely to receive an immigration ban and it is also a criminal offense.
US code outlines the offense:
"(a)Improper time or place; avoidance of examination or inspection; misrepresentation and concealment of facts
Any alien who (1) enters or attempts to enter the United States at any time or place other than as designated by immigration officers, or (2) eludes examination or inspection by immigration officers, or (3) attempts to enter or obtains entry to the United States by a willfully false or misleading representation or the willful concealment of a material fact, shall, for the first commission of any such offense, be fined under title 18 or imprisoned not more than 6 months, or both, and, for a subsequent commission of any such offense, be fined under title 18, or imprisoned not more than 2 years, or both"
To gain lawful presence in the US under the law you would need to leave the US apply for a waiver and come back on a lawful visa due to the illegal entry.
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