Didn't get into Navy cause of eye sight, having lasik and try to get in Army, will Army know I applied to Navy?

Scored high on ASVAB and complete medical exam. Couldn’t get into Navy cause my eye sight is above -8.00. Asked for waiver, and produced docs from eye doc saying my eyes can be corrected to 20/20 with Lasik. They still said no. I am getting Lasik and going to wait 3 months to apply to Army. Will Army be able to find out about my Navy experience. Will I get in trouble if I don’t tell the Army I had Lasik.